H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 98 Citations 28,798 436 World Ranking 18 National Ranking 12

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.

Top Publications

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

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

482 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

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

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

465 Citations

Lump solutions to nonlinear partial differential equations via Hirota bilinear forms

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

465 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)

442 Citations

Integrable theory of the perturbation equations

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

401 Citations

Lump solutions to the Kadomtsev–Petviashvili equation

Wen-Xiu Ma.
Physics Letters A (2015)

399 Citations

Semi-direct sums of Lie algebras and continuous integrable couplings

Wen-Xiu Ma;Xi-Xiang Xu;Yufeng Zhang.
Physics Letters A (2006)

336 Citations

Linear superposition principle applying to Hirota bilinear equations

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

326 Citations

Complexiton solutions to the Korteweg–de Vries equation

Wen Xiu Ma.
Physics Letters A (2002)

317 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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