D-Index & Metrics Best Publications
Mathematics
USA
2023

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 96 Citations 25,195 397 World Ranking 40 National Ranking 29

Research.com Recognitions

Awards & Achievements

2023 - Research.com Mathematics in United States Leader Award

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

Wen-Xiu Ma focuses on Mathematical analysis, Bilinear form, Applied mathematics, Symbolic computation and Nonlinear system. His study connects Soliton and Mathematical analysis. His work on Symmetric bilinear form is typically connected to Maple as part of general Bilinear form study, connecting several disciplines of science.

Wen-Xiu Ma interconnects Zero, Class, System of bilinear equations and Eigenfunction in the investigation of issues within Applied mathematics. His Symbolic computation study is concerned with the field of Algebra as a whole. The study incorporates disciplines such as Partial differential equation and Theta function in addition to Nonlinear system.

His most cited work include:

  • Lump solutions to the Kadomtsev–Petviashvili equation (449 citations)
  • Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions (402 citations)
  • A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo–Miwa equation (396 citations)

What are the main themes of his work throughout his whole career to date?

His main research concerns Mathematical analysis, Integrable system, Mathematical physics, Soliton and Nonlinear system. In his research, Zero is intimately related to Curvature, which falls under the overarching field of Mathematical analysis. His research integrates issues of Matrix, Hamiltonian, Hamiltonian system and Lie algebra in his study of Integrable system.

As a part of the same scientific study, Wen-Xiu Ma usually deals with the Soliton, concentrating on Transformation and frequently concerns with Type and Eigenfunction. His research in Nonlinear system intersects with topics in Applied mathematics and Schrödinger equation. In his study, which falls under the umbrella issue of Applied mathematics, Nonlinear evolution is strongly linked to Symbolic computation.

He most often published in these fields:

  • Mathematical analysis (47.02%)
  • Integrable system (45.59%)
  • Mathematical physics (44.15%)

What were the highlights of his more recent work (between 2018-2021)?

  • Soliton (39.01%)
  • Applied mathematics (33.26%)
  • Nonlinear system (34.70%)

In recent papers he was focusing on the following fields of study:

The scientist’s investigation covers issues in Soliton, Applied mathematics, Nonlinear system, Mathematical analysis and One-dimensional space. His Soliton research is multidisciplinary, incorporating elements of Breather, Integrable system, Mathematical physics, Rogue wave and Transformation. His Applied mathematics research integrates issues from Term, Fourth order, Symbolic computation and Class.

His Nonlinear system research is multidisciplinary, incorporating perspectives in Schrödinger's cat and Boundary value problem. Mathematical analysis and Matrix are frequently intertwined in his study. His One-dimensional space study combines topics in areas such as Kadomtsev–Petviashvili equation, Bilinear form and Type.

Between 2018 and 2021, his most popular works were:

  • Interaction behavior associated with a generalized (2+1)-dimensional Hirota bilinear equation for nonlinear waves (86 citations)
  • Interaction behavior associated with a generalized (2+1)-dimensional Hirota bilinear equation for nonlinear waves (86 citations)
  • Interaction behavior associated with a generalized (2+1)-dimensional Hirota bilinear equation for nonlinear waves (86 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

His primary scientific interests are in Mathematical analysis, Soliton, Nonlinear system, One-dimensional space and Applied mathematics. His work on Exponential function and Polynomial as part of general Mathematical analysis study is frequently connected to Quadratic function, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. His studies deal with areas such as Riemann hypothesis and Class as well as Soliton.

His study explores the link between Nonlinear system and topics such as Symbolic computation that cross with problems in Fourth order. His One-dimensional space study deals with Bilinear form intersecting with Series, Mathematical physics and Nonlinear partial differential equation. His biological study spans a wide range of topics, including Order, Dynamics, Nonlinear phenomena, Nonlinear optics and Free parameter.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Lump solutions to the Kadomtsev–Petviashvili equation

Wen-Xiu Ma.
Physics Letters A (2015)

625 Citations

Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation

W.X. Ma;B. Fuchssteiner.
International Journal of Non-linear Mechanics (1996)

567 Citations

A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo–Miwa equation

Wen-Xiu Ma;Jyh-Hao Lee.
Chaos Solitons & Fractals (2009)

562 Citations

A multiple exp-function method for nonlinear differential equations and its application

Wen-Xiu Ma;Wen-Xiu Ma;Tingwen Huang;Yi Zhang.
Physica Scripta (2010)

561 Citations

Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions

Wen-Xiu Ma;Yuncheng You.
Transactions of the American Mathematical Society (2004)

526 Citations

Lump solutions to nonlinear partial differential equations via Hirota bilinear forms

Wen-Xiu Ma;Yuan Zhou.
Journal of Differential Equations (2018)

520 Citations

A multiple exp-function method for nonlinear differential equations and its application

Wen-Xiu Ma;Wen-Xiu Ma;Tingwen Huang;Yi Zhang.
Physica Scripta (2010)

479 Citations

Integrable theory of the perturbation equations

Wen-Xiu Ma;Benno Fuchssteiner.
Chaos Solitons & Fractals (1996)

435 Citations

Linear superposition principle applying to Hirota bilinear equations

Wen-Xiu Ma;Engui Fan.
Computers & Mathematics With Applications (2011)

402 Citations

Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation

Xing Lü;Wen-Xiu Ma;Wen-Xiu Ma.
Nonlinear Dynamics (2016)

374 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

Best Scientists Citing Wen-Xiu Ma

Shou-Fu Tian

Shou-Fu Tian

China University of Mining and Technology

Publications: 98

Anjan Biswas

Anjan Biswas

Alabama Agricultural and Mechanical University

Publications: 82

Bo Tian

Bo Tian

Beijing University of Posts and Telecommunications

Publications: 73

Aly R. Seadawy

Aly R. Seadawy

Taibah University

Publications: 67

Abdul-Majid Wazwaz

Abdul-Majid Wazwaz

Saint Xavier University

Publications: 66

Hongqing Zhang

Hongqing Zhang

Dalian University of Technology

Publications: 61

Yong Chen

Yong Chen

East China Normal University

Publications: 57

Mohammad Mirzazadeh

Mohammad Mirzazadeh

University of Guilan

Publications: 55

Bo Tian

Bo Tian

Beijing University of Posts and Telecommunications

Publications: 43

Jingsong He

Jingsong He

Shenzhen University

Publications: 41

Syed Tauseef Mohyud-Din

Syed Tauseef Mohyud-Din

HITEC University

Publications: 36

Qin Zhou

Qin Zhou

Wuhan Textile University

Publications: 34

Dianchen Lu

Dianchen Lu

Jiangsu University

Publications: 30

Wenjun Liu

Wenjun Liu

Beijing University of Posts and Telecommunications

Publications: 27

Ahmet Yildirim

Ahmet Yildirim

Ege University

Publications: 27

Dumitru Baleanu

Dumitru Baleanu

Çankaya University

Publications: 24

Trending Scientists

Hal G. Rainey

Hal G. Rainey

University of Georgia

Jeonghyun Kim

Jeonghyun Kim

Kwangwoon University

Kim H. Esbensen

Kim H. Esbensen

Geological Survey of Denmark and Greenland

Anthony Michael Fadell

Anthony Michael Fadell

Build Collective

Dongke Zhang

Dongke Zhang

University of Western Australia

Cao-Thang Dinh

Cao-Thang Dinh

Queen's University

Xin Lu

Xin Lu

University of Oxford

Vitor C. Sousa

Vitor C. Sousa

University of Lisbon

Simcha Lev-Yadun

Simcha Lev-Yadun

University of Haifa

Tadaomi Takenawa

Tadaomi Takenawa

Kobe University

Stephen C. Fry

Stephen C. Fry

University of Edinburgh

David Zagzag

David Zagzag

New York University

Lawrence G. Lenke

Lawrence G. Lenke

Columbia University

Simon J. Griffin

Simon J. Griffin

University of Cambridge

Robert LaRose

Robert LaRose

Michigan State University

Noah D. Finkelstein

Noah D. Finkelstein

University of Colorado Boulder

Something went wrong. Please try again later.