Analysis and Mathematical Physics

Top Research Topics at Analysis and Mathematical Physics?

The discussions in the journal mainly cover the fields of Pure mathematics, Mathematical analysis, Combinatorics, Type (model theory) and Mathematical physics. Analysis and Mathematical Physics focuses on Pure mathematics but the discussions also offer insight into other areas such as Function (mathematics), Bounded function, Space (mathematics) and Boundary (topology). Mathematical analysis and Nonlinear system are closely related fields of research discussed in it.

It explores issues in Combinatorics which can be linked to other research areas like Discrete mathematics and Omega. The journal focused on Type (model theory) research but expanded to cover Order (ring theory).

• Pure mathematics (35.37%)
• Mathematical analysis (29.90%)
• Combinatorics (17.04%)

What are the most cited papers published in the journal?

• Lump and lump-soliton solutions to the $$(2+1)$$ ( 2 + 1 ) -dimensional Ito equation (174 citations)
• Abundant exact solutions and interaction phenomena of the (2 + 1)-dimensional YTSF equation (75 citations)
• The Wiener algebra of absolutely convergent Fourier integrals: an overview (64 citations)

Research areas of the most cited articles at Analysis and Mathematical Physics:

The most cited papers are organized to address concerns in the fields of Mathematical analysis, Pure mathematics, Integrable system, Algebra and Soliton. The most cited publications explore topics in Mathematical analysis which can be helpful for research in disciplines like Nonlinear system, Order (ring theory) and Combinatorics, Inversion (discrete mathematics). While the published papers focused on Pure mathematics, they were also able to explore topics like Class (set theory) and Bravais lattice.

What topics the last edition of the journal is best known for?

• Quantum mechanics
• Mathematical analysis
• Algebra

The previous edition focused in particular on these issues:

The primary areas of discussion in Analysis and Mathematical Physics are Pure mathematics, Combinatorics, Mathematical analysis, Type (model theory) and Mathematical physics. Issues in Pure mathematics were discussed, taking into consideration concepts from other disciplines like Space (mathematics) and Function (mathematics). The Unit disk studies presented in it fall under the field of Combinatorics, but it also has connections to other fields such as Convexity.

Studies on Mathematical analysis discussed in Analysis and Mathematical Physics link to the field of Nonlinear system. Topics in Type (model theory) were tackled in line with various other fields like Polynomial (hyperelastic model) and Order (ring theory). Analysis and Mathematical Physics facilitates discussions on Uniqueness that incorporate concepts from other fields like Initial value problem and Applied mathematics.

The most cited articles from the last journal are:

• Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the (3 +1 ) -dimensional generalized Kadomtsev-Petviashvili equation (36 citations)
• Optical solitons and other solutions to Kaup–Newell equation with Jacobi elliptic function expansion method (8 citations)
• Localized John–Nirenberg–Campanato spaces (8 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

Top authors and change over time

The top authors publishing in Analysis and Mathematical Physics (based on the number of publications) are:

• Valentin Lychagin (8 papers) published 1 paper at the last edition, 1 less than at the previous edition,
• Vagif S. Guliyev (7 papers) published 2 papers at the last edition, 1 more than at the previous edition,
• Natalia P. Bondarenko (6 papers) published 1 paper at the last edition the same number as at the previous edition,
• Wen-Xiu Ma (6 papers) published 2 papers at the last edition,
• Vjacheslav Yurko (6 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Top affiliations and change over time

Only papers with recognized affiliations are considered

The top affiliations publishing in Analysis and Mathematical Physics (based on the number of publications) are:

• Saratov State University (16 papers) published 2 papers at the last edition, 1 more than at the previous edition,
• Bar-Ilan University (11 papers) published 1 paper at the last edition, 2 less than at the previous edition,
• Saint Petersburg State University (10 papers) published 2 papers at the last edition,
• University of South Florida (10 papers) absent at the last edition,
• Russian Academy of Sciences (9 papers) published 1 paper at the last edition, 1 less than at the previous edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 11.36% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 7.69% were posted by at least one author from the top 10 institutions publishing in the journal. Another 5.77% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 17.95% of all publications and 68.59% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

• Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
• Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
• Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
• Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
• Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.