ADVANCED NONLINEAR STUDIES

Scope & Guideline

Exploring the Boundaries of Nonlinear Phenomena

Introduction

Welcome to the ADVANCED NONLINEAR STUDIES information hub, where our guidelines provide a wealth of knowledge about the journal’s focus and academic contributions. This page includes an extensive look at the aims and scope of ADVANCED NONLINEAR STUDIES, highlighting trending and emerging areas of study. We also examine declining topics to offer insight into academic interest shifts. Our curated list of highly cited topics and recent publications is part of our effort to guide scholars, using these guidelines to stay ahead in their research endeavors.
LanguageEnglish
ISSN1536-1365
PublisherDE GRUYTER POLAND SP Z O O
Support Open AccessYes
CountryGermany
TypeJournal
Convergefrom 2001 to 2024
AbbreviationADV NONLINEAR STUD / Adv. Nonlinear Stud.
Frequency1 issue/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressBOGUMILA ZUGA 32A STR, 01-811 WARSAW, MAZOVIA, POLAND

Aims and Scopes

The journal 'ADVANCED NONLINEAR STUDIES' focuses on a variety of mathematical problems that involve nonlinear phenomena across different fields of mathematics and applied sciences. Its core areas include analysis, differential equations, and mathematical physics, emphasizing both theoretical advancements and practical applications.
  1. Nonlinear Partial Differential Equations (PDEs):
    The journal consistently publishes research on the existence, uniqueness, and qualitative properties of solutions to various classes of nonlinear PDEs, including elliptic, parabolic, and hyperbolic equations.
  2. Mathematical Analysis and Functional Analysis:
    A significant focus is placed on advanced mathematical analysis techniques, including Sobolev spaces, variational methods, and functional inequalities, which are fundamental to understanding the behavior of solutions to nonlinear problems.
  3. Geometric Analysis:
    Research on geometric flows, curvature conditions, and the geometry of manifolds is prevalent, highlighting the interplay between geometry and analysis.
  4. Variational Methods and Critical Point Theory:
    The journal explores variational methods for finding critical points of functionals associated with nonlinear problems, often linked to physical applications such as mechanics and thermodynamics.
  5. Solitons and Wave Phenomena:
    The study of solitons, particularly in nonlinear wave equations and dispersive systems, is a recurring theme, reflecting the journal's commitment to both mathematical rigor and physical relevance.
  6. Fractional Calculus and Nonlocal Operators:
    Recent articles indicate a growing interest in fractional differential equations and nonlocal operators, broadening the scope of traditional analysis to include more complex behaviors.
The journal is dynamic, with emerging themes indicating a response to contemporary mathematical challenges and interdisciplinary research. These trends highlight the evolving landscape of mathematical studies.
  1. Nonlocal and Fractional Differential Equations:
    There is a significant uptick in research focusing on nonlocal problems and fractional calculus, reflecting an interest in understanding phenomena that cannot be captured by classical models.
  2. Geometric Partial Differential Equations:
    Recent publications emphasize geometric aspects of PDEs, particularly in relation to curvature flows and geometric inequalities, showcasing a trend towards integrating geometry with analysis.
  3. Mathematical Biology and Ecology:
    Emerging themes include applications of nonlinear analysis to mathematical biology, particularly in models of population dynamics and chemotaxis, indicating a growing interdisciplinary approach.
  4. Advanced Variational Methods:
    The journal is increasingly featuring sophisticated variational techniques, including those applied to critical point theory and existence results for complex systems.
  5. Numerical Analysis and Computational Approaches:
    There's a noticeable rise in studies that combine analytical results with numerical simulations, reflecting a trend towards validating theoretical findings through computational methods.

Declining or Waning

While the journal has seen a robust growth in certain areas, some themes appear to be declining in prominence. This may reflect shifts in research interests or the maturation of certain fields.
  1. Classical Linear PDEs:
    There has been a noticeable decrease in publications focusing on purely linear PDEs, as the journal shifts towards more complex nonlinear frameworks that reflect modern mathematical challenges.
  2. Elementary Techniques in Analysis:
    Basic analytical techniques, often used in introductory studies, are becoming less frequent, suggesting that the journal prioritizes innovative and advanced methodologies.
  3. Applications in Classical Mechanics:
    While still present, articles specifically applying nonlinear analysis to classical mechanics appear to be diminishing, possibly as researchers explore more contemporary applications in fields like fluid dynamics and materials science.

Similar Journals

THEORETICAL AND MATHEMATICAL PHYSICS

Charting New Territories in Physics Research
Publisher: MAIK NAUKA/INTERPERIODICA/SPRINGERISSN: 0040-5779Frequency: 12 issues/year

THEORETICAL AND MATHEMATICAL PHYSICS, published by MAIK NAUKA/INTERPERIODICA/SPRINGER, is a premier journal dedicated to advancing the fields of Mathematical Physics and Statistical and Nonlinear Physics. With an impressive history spanning from 1969 to 2024, this journal serves as a vital platform for researchers, professionals, and students eager to explore cutting-edge theoretical frameworks and mathematical models. Although it currently holds a Q3 ranking in both its categories as per the 2023 metrics and is positioned within the Scopus ranks reflecting its growing influence, the journal continually aims to enhance its impact within the academic community. The publication does not currently provide open-access options, underscoring its collector’s nature in the dissemination of valuable research findings. Submissions are welcomed from diverse areas of theoretical physics, providing a rich and collaborative environment for the exploration of complex phenomena and the development of innovative methodologies.

Complex Variables and Elliptic Equations

Driving Innovation in Numerical and Computational Analysis
Publisher: TAYLOR & FRANCIS LTDISSN: 1747-6933Frequency: 12 issues/year

Complex Variables and Elliptic Equations is a distinguished academic journal published by TAYLOR & FRANCIS LTD, focused on the intricate interplay between complex variables and elliptic equations. With an ISSN of 1747-6933 and an E-ISSN of 1747-6941, this journal serves as a vital platform for researchers and practitioners in the fields of Analysis, Applied Mathematics, Computational Mathematics, and Numerical Analysis. With a publishing history spanning from 2007 to 2024, the journal is recognized for its substantial contributions, as evidenced by its Q2 ranking in Applied Mathematics and Numerical Analysis, and Q3 in Analysis and Computational Mathematics for 2023. Notably, it occupies various Scopus ranks that reflect its ongoing academic relevance—ranked #86 in Mathematics Analysis and #49 in Numerical Analysis. While it does not currently operate under an open-access model, the journal remains an indispensable resource for advancing mathematical theory and its practical applications. Researchers, students, and professionals alike will find invaluable insights and developments that push the boundaries of mathematical inquiry.

REPORTS ON MATHEMATICAL PHYSICS

Advancing Insights in Mathematical Physics
Publisher: PERGAMON-ELSEVIER SCIENCE LTDISSN: 0034-4877Frequency: 6 issues/year

REPORTS ON MATHEMATICAL PHYSICS is a distinguished journal published by PERGAMON-ELSEVIER SCIENCE LTD, focusing on the intricate interplay between mathematics and physics. Established in the United Kingdom, this journal has been contributing to the academic community since its inception, publishing significant research findings that explore the theoretical underpinnings of physical phenomena. With an ISSN of 0034-4877 and an E-ISSN of 1879-0674, the journal maintains a consistent publishing history, converging research from 1970 to 2024. It is currently ranked Q3 in both Mathematical Physics and Statistical and Nonlinear Physics categories, reflecting its commitment to maintaining a high standard of scholarly work. Although it lacks Open Access options, its targeted audience of researchers, professionals, and students will find invaluable insights into advanced mathematical methods, statistical applications, and innovative approaches in physics. With its esteemed reputation and critical role in the field, REPORTS ON MATHEMATICAL PHYSICS continues to be an essential resource for those seeking to deepen their understanding of mathematical applications in physical systems.

Analysis & PDE

Connecting Ideas, Inspiring Discoveries in Analysis & PDE.
Publisher: MATHEMATICAL SCIENCE PUBLISSN: 1948-206XFrequency: 3 issues/year

Analysis & PDE is a premier journal dedicated to advancing the fields of analysis and partial differential equations, published by Mathematical Science Publications. With its ISSN 1948-206X, this journal has established itself as a critical platform for the dissemination of high-quality research since its inception in 2008. An indicator of its scholarly impact, it holds a prestigious Q1 ranking in the 2023 categories of Analysis, Applied Mathematics, and Numerical Analysis. The journal's esteemed standing is further underscored by its impressive Scopus rankings, including Rank #24 in Mathematics Analysis, placing it in the 87th percentile of its category. Aimed at researchers, professionals, and advanced students, Analysis & PDE provides a vital forum for innovative studies that push the boundaries of mathematics while fostering a deeper understanding of analytical methods and their applications across various real-world challenges. With no open access restrictions, it remains an accessible resource for the global research community. For more information, please reach out to the editorial office at the Department of Mathematics, University of California, Berkeley.

Analysis and Mathematical Physics

Fostering Dialogue Across Mathematical Disciplines
Publisher: SPRINGER BASEL AGISSN: 1664-2368Frequency: 1 issue/year

Analysis and Mathematical Physics is a distinguished scholarly journal dedicated to advancing the fields of algebra, analysis, and mathematical physics. Published by Springer Basel AG, this journal serves as a pivotal platform for researchers and practitioners to disseminate innovative findings and theoretical advancements. With an impact factor that underscores its significance, it ranks in the Q1 category for Algebra and Number Theory and Q2 for both Analysis and Mathematical Physics as of 2023. The journal's robust standing is further reflected in its impressive Scopus rankings, placing it within the top 15% in Algebra and Number Theory and 32nd in Mathematical Physics. Notably, the journal fosters open dialogue across various mathematical disciplines, aiming to connect theory with practical applications. Through its thoughtful selection of rigorous research contributions, Analysis and Mathematical Physics remains an essential resource for academic scholars, industry professionals, and students striving to deepen their understanding and engage with complex mathematical concepts.

Funkcialaj Ekvacioj-Serio Internacia

Empowering Minds through Distinguished Mathematical Research
Publisher: KOBE UNIV, DEPT MATHEMATICSISSN: 0532-8721Frequency: 3 issues/year

Funkcialaj Ekvacioj-Serio Internacia is a distinguished mathematical journal published by the Kobe University Department of Mathematics, Japan. With an ISSN of 0532-8721, it serves as a platform for the dissemination of high-quality research in the fields of Algebra, Analysis, and Geometry and Topology. Since its inception, the journal has made significant contributions to these areas, evidenced by its ranking in the third quartile (Q3) in 2023 across all three categories. Although the journal does not currently offer open access, it remains an essential resource for researchers and students alike, fostering a deeper understanding of complex mathematical concepts and encouraging collaborative advancements in these vital fields. With a commitment to rigorous peer review and scholarly excellence, Funkcialaj Ekvacioj-Serio Internacia is an invaluable asset for professionals looking to stay at the forefront of mathematical research.

ANNALES HENRI POINCARE

Connecting Scholars Worldwide in the Quest for Knowledge
Publisher: SPRINGER INT PUBL AGISSN: 1424-0637Frequency: 12 issues/year

ANNALES HENRI POINCARE is a prestigious journal published by Springer International Publishing AG, dedicated to advancing research in the fields of Mathematical Physics, Nuclear and High Energy Physics, and Statistical and Nonlinear Physics. With an impressive Q1 ranking in its respective categories as of 2023, this journal is recognized as a vital resource for academic researchers, professionals, and students engaged in frontier studies of theoretical and applied physics. The journal's commitment to high-quality peer-reviewed articles promotes significant contributions to the understanding of complex physical phenomena, making it essential reading for anyone seeking to stay abreast of developments in these dynamic fields. Additionally, ANNALES HENRI POINCARE offers open access options to enhance the visibility and accessibility of groundbreaking research, underscoring its role in fostering collaborative scientific inquiry and innovation. Since its inception in 2000, it has continually provided a platform for scholars worldwide to disseminate their findings and engage with the broader scientific community, thus establishing itself as a cornerstone of academic literature.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Connecting Researchers with Cutting-Edge Findings
Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCEISSN: 0022-247XFrequency: 24 issues/year

The JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, published by Academic Press Inc Elsevier Science, represents a leading platform in the fields of mathematical analysis and applied mathematics. With its esteemed Q1 ranking in Analysis and Q2 in Applied Mathematics, this journal plays a vital role in disseminating high-quality research that addresses complex mathematical problems and their applications in various scientific domains. Covering a broad spectrum of topics, the journal has been a cornerstone of mathematical scholarship since its inception in 1960 and continues to thrive with contributions from prominent researchers across the globe, expected to extend through 2025. The journal is indexed in Scopus, currently ranking #60 out of 193 in Mathematics Analysis and #281 out of 635 in Applied Mathematics, reflecting its significant impact in the academic community. Although it does not offer open access options, researchers and professionals are encouraged to subscribe to access cutting-edge findings and insights. As an essential resource, the journal fosters the advancement of mathematical theories and their practical applications, making it indispensable for mathematicians, academics, and industry professionals alike.

NONLINEARITY

Shaping the Future of Mathematical Physics
Publisher: IOP Publishing LtdISSN: 0951-7715Frequency: 12 issues/year

NONLINEARITY is a premier academic journal published by IOP Publishing Ltd, dedicated to advancing the field of complex systems through the lens of nonlinear science. Since its inception in 1988, the journal has established itself as a vital resource for researchers and professionals alike, offering a robust platform for disseminating high-quality research in areas such as applied mathematics, mathematical physics, and statistical and nonlinear physics. With an impressive Q1 ranking across multiple pertinent categories, including Applied Mathematics and Mathematical Physics, NONLINEARITY ranks among the top journals globally, making it essential reading for those seeking to deepen their understanding of nonlinear phenomena. Although it does not operate under an open-access model, its rich repository of rigorous articles significantly contributes to academia, fostering innovative thought and facilitating cutting-edge research. Located in the heart of the United Kingdom at TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, NONLINEARITY continues to be at the forefront of the scientific community, championing new discoveries and interdisciplinary dialogue within its dynamic scope.

Communications in Analysis and Mechanics

Pioneering open access to cutting-edge research and methodologies.
Publisher: AMER INST MATHEMATICAL SCIENCES-AIMSISSN: Frequency: 4 issues/year

Communications in Analysis and Mechanics is a pioneering journal published by the AMER INST MATHEMATICAL SCIENCES (AIMS), dedicated to advancing the fields of mathematics, engineering, and applied sciences. With its recent transition to Open Access in 2023, the journal aims to enhance the dissemination of high-quality research by fostering a collaborative environment for researchers, professionals, and students. Operating from the United States, this journal embraces a broad scope encompassing geometry, optimization, and mechanics, ensuring a comprehensive platform for innovation and critical discourse. Despite its nascent status, it features competitive Scopus rankings in various disciplines, notably achieving a percentile around 7th to 13th, indicative of its growing impact among peers. The editorial team is committed to publishing original research that addresses significant challenges and developments within the mathematical sciences, facilitating a vital exchange of ideas and methodologies.