H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 44 Citations 5,338 142 World Ranking 801 National Ranking 35

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Partial differential equation

His primary scientific interests are in One-dimensional space, Mathematical analysis, Soliton, Bilinear interpolation and Riemann hypothesis. His One-dimensional space research includes elements of Bilinear form and Rogue wave. His work carried out in the field of Rogue wave brings together such families of science as Breather and Classical mechanics.

His research integrates issues of Representation and Bell polynomials in his study of Mathematical analysis. Among his Bilinear interpolation studies, there is a synthesis of other scientific areas such as Conservation law and Mathematical physics. His research in Riemann hypothesis intersects with topics in Periodic wave, Nonlinear differential equations and Theta function.

His most cited work include:

  • Initial–boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method☆ (222 citations)
  • The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method. (122 citations)
  • On the Integrability of a Generalized Variable‐Coefficient Forced Korteweg‐de Vries Equation in Fluids (122 citations)

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

Shou-Fu Tian mostly deals with Mathematical physics, Mathematical analysis, Soliton, One-dimensional space and Nonlinear system. His studies deal with areas such as Korteweg–de Vries equation, Conservation law and Fluid dynamics as well as Mathematical physics. His Soliton research incorporates elements of Matrix, Nonlinear differential equations, Representation and Lax pair.

Shou-Fu Tian interconnects Kadomtsev–Petviashvili equation, Breather, Bilinear form and Rogue wave in the investigation of issues within One-dimensional space. His Rogue wave research focuses on subjects like Classical mechanics, which are linked to Exact solutions in general relativity. His study in the field of Nonlinear Schrödinger equation is also linked to topics like Type.

He most often published in these fields:

  • Mathematical physics (56.71%)
  • Mathematical analysis (51.22%)
  • Soliton (42.68%)

What were the highlights of his more recent work (between 2019-2021)?

  • Mathematical analysis (51.22%)
  • Soliton (42.68%)
  • Mathematical physics (56.71%)

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

The scientist’s investigation covers issues in Mathematical analysis, Soliton, Mathematical physics, Nonlinear system and Boundary value problem. His work in the fields of Mathematical analysis, such as Inverse scattering transform, overlaps with other areas such as Simple. His Soliton study combines topics from a wide range of disciplines, such as Matrix, Series, Breather and Hierarchy.

His Mathematical physics research is multidisciplinary, incorporating elements of Symmetry, Schrödinger equation and Rogue wave. Shou-Fu Tian combines subjects such as Periodic wave, Conservation law and One-dimensional space with his study of Symmetry. His Nonlinear system study integrates concerns from other disciplines, such as Riemann hypothesis, Schrödinger's cat and Classical mechanics, Dynamics.

Between 2019 and 2021, his most popular works were:

  • Lie symmetry analysis, conservation laws and solitary wave solutions to a fourth-order nonlinear generalized Boussinesq water wave equation (51 citations)
  • Lie symmetries and nonlocally related systems of the continuous and discrete dispersive long waves system by geometric approach (45 citations)
  • The N‐coupled higher‐order nonlinear Schrödinger equation: Riemann‐Hilbert problem and multi‐soliton solutions (21 citations)

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

  • Mathematical analysis
  • Quantum mechanics
  • Partial differential equation

His primary areas of study are Mathematical physics, Symmetry, Soliton, Mathematical analysis and Conservation law. His Mathematical physics research incorporates themes from Elliptic function, Order and Rogue wave. The study incorporates disciplines such as Initial value problem, Periodic wave, One-dimensional space and Riemann hypothesis in addition to Soliton.

Shou-Fu Tian has researched Mathematical analysis in several fields, including Component and Dissipative system. His research in Conservation law tackles topics such as Work which are related to areas like Lie group, Korteweg–de Vries equation, Laws of science and Type equation. Shou-Fu Tian integrates Nonlinear system and Vector field in his research.

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

Initial–boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method☆

Shou-Fu Tian.
Journal of Differential Equations (2017)

262 Citations

The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method.

Shou-Fu Tian.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (2016)

170 Citations

On the Integrability of a Generalized Variable‐Coefficient Forced Korteweg‐de Vries Equation in Fluids

Shou-Fu Tian;Hong-Qing Zhang.
Studies in Applied Mathematics (2014)

143 Citations

Riemann theta functions periodic wave solutions and rational characteristics for the nonlinear equations

Shou-fu Tian;Hong-qing Zhang.
Journal of Mathematical Analysis and Applications (2010)

126 Citations

On the integrability of a generalized variable-coefficient Kadomtsev–Petviashvili equation

Shou-Fu Tian;Shou-Fu Tian;Hong-Qing Zhang.
Journal of Physics A (2012)

126 Citations

Long-time asymptotic behavior for the Gerdjikov-Ivanov type of derivative nonlinear Schrödinger equation with time-periodic boundary condition

Shou-Fu Tian;Tian-Tian Zhang.
Proceedings of the American Mathematical Society (2017)

116 Citations

Rogue waves, homoclinic breather waves and soliton waves for the (2+1)-dimensional B-type Kadomtsev–Petviashvili equation

Lian-Li Feng;Shou-Fu Tian;Shou-Fu Tian;Xiu-Bin Wang;Tian-Tian Zhang.
Applied Mathematics Letters (2017)

109 Citations

Dynamics of the breathers, rogue waves and solitary waves in the (2+1)-dimensional Ito equation

Xiu-Bin Wang;Shou-Fu Tian;Shou-Fu Tian;Chun-Yan Qin;Tian-Tian Zhang.
Applied Mathematics Letters (2017)

108 Citations

Initial-boundary value problems of the coupled modified Korteweg–de Vries equation on the half-line via the Fokas method

Shou-Fu Tian;Shou-Fu Tian.
Journal of Physics A (2017)

105 Citations

On periodic wave solutions with asymptotic behaviors to a (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili equation in fluid dynamics

Jian-Min Tu;Shou-Fu Tian;Mei-Juan Xu;Pan-Li Ma.
Computers & Mathematics With Applications (2016)

104 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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