H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 40 Citations 5,684 170 World Ranking 1024 National Ranking 51

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Algebra

His primary scientific interests are in Rogue wave, Breather, Mathematical analysis, Mathematical physics and Transformation. The concepts of his Rogue wave study are interwoven with issues in Derivative, Soliton, Nonlinear Schrödinger equation and Order. His study in Breather is interdisciplinary in nature, drawing from both Amplitude, Polarization and Taylor series.

His biological study spans a wide range of topics, including Line, Invertible matrix, Eigenfunction and Constant. He is interested in Integrable system, which is a branch of Mathematical physics. His studies in Transformation integrate themes in fields like Matrix and Representation.

His most cited work include:

  • Generating mechanism for higher-order rogue waves. (217 citations)
  • Multisolitons, breathers, and rogue waves for the Hirota equation generated by the Darboux transformation. (177 citations)
  • The Darboux transformation of the derivative nonlinear Schrödinger equation (162 citations)

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

His primary areas of study are Mathematical physics, Rogue wave, Mathematical analysis, Breather and Soliton. His Mathematical physics study integrates concerns from other disciplines, such as Symmetry, Limit and Eigenfunction. His Rogue wave research includes elements of Transformation, Nonlinear Schrödinger equation, Order and Line.

His work in Breather addresses subjects such as Eigenvalues and eigenvectors, which are connected to disciplines such as Lambda and Korteweg–de Vries equation. The Soliton study which covers State that intersects with Self-phase modulation and Physical system. His Integrable system research is multidisciplinary, relying on both Flow, Hamiltonian system and Algebra.

He most often published in these fields:

  • Mathematical physics (53.85%)
  • Rogue wave (41.03%)
  • Mathematical analysis (30.77%)

What were the highlights of his more recent work (between 2017-2021)?

  • Mathematical physics (53.85%)
  • Rogue wave (41.03%)
  • Soliton (26.07%)

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

The scientist’s investigation covers issues in Mathematical physics, Rogue wave, Soliton, Breather and Nonlinear system. The study incorporates disciplines such as Nonlinear Schrödinger equation, Taylor series, Type and Eigenfunction in addition to Mathematical physics. Jingsong He interconnects Peregrine soliton, Line and Mathematical analysis, Integrable system in the investigation of issues within Rogue wave.

His Mathematical analysis study integrates concerns from other disciplines, such as Transformation, Symmetry, Simple and Degenerate energy levels. His Breather research includes elements of Kadomtsev–Petviashvili equation, Eigenvalues and eigenvectors, Limit and One-dimensional space. His Nonlinear system study combines topics from a wide range of disciplines, such as Amplitude and Schrödinger equation.

Between 2017 and 2021, his most popular works were:

  • Rogue waves of the nonlocal Davey–Stewartson I equation (43 citations)
  • Riemann-Hilbert method and N-soliton for two-component Gerdjikov-Ivanov equation (39 citations)
  • Families of exact solutions of a new extended $$ arvec{(2+1)}$$ ( 2 + 1 ) -dimensional Boussinesq equation (30 citations)

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

Generating mechanism for higher-order rogue waves.

J. S. He;H. R. Zhang;L. H. Wang;K. Porsezian.
Physical Review E (2013)

283 Citations

Multisolitons, breathers, and rogue waves for the Hirota equation generated by the Darboux transformation.

Yongsheng Tao;Jingsong He.
Physical Review E (2012)

222 Citations

The Darboux transformation of the derivative nonlinear Schrödinger equation

Shuwei Xu;Jingsong He;Lihong Wang.
Journal of Physics A (2011)

206 Citations

The Darboux transformation of the derivative nonlinear Schr"odinger equation

Shuwei Xu;Jingsong He;Lihong Wang.
arXiv: Exactly Solvable and Integrable Systems (2011)

186 Citations

Partial differential equations possessing Frobenius integrable decompositions

Wen-Xiu Ma;Hongyou Wu;Jingsong He.
Physics Letters A (2007)

171 Citations

A second Wronskian formulation of the Boussinesq equation

Wen-Xiu Ma;Chun-Xia Li;Jingsong He.
Nonlinear Analysis-theory Methods & Applications (2009)

170 Citations

A supertrace identity and its applications to superintegrable systems

Wen-Xiu Ma;Jing-Song He;Zhen-Yun Qin.
Journal of Mathematical Physics (2008)

155 Citations

Breather and rogue wave solutions of a generalized nonlinear Schrödinger equation.

L. H. Wang;K. Porsezian;J. S. He.
Physical Review E (2013)

145 Citations

Rogue waves of the Hirota and the Maxwell-Bloch equations.

Chuanzhong Li;Jingsong He;K. Porsezian.
Physical Review E (2013)

126 Citations

Rational and semi-rational solutions of the nonlocal Davey-Stewartson equations

Jiguang Rao;Yi Cheng;Jingsong He.
Studies in Applied Mathematics (2017)

110 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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