World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
50
Citations
7444
World Ranking
1099
National Ranking
57

Overview

Shou-Fu Tian is affiliated with the China University of Mining and Technology in China, contributing extensively to research in physics and mathematics. Their research spans multiple interrelated fields, with primary focus areas including Physics and Astronomy and Mathematics.

The scientist's work delves deeply into the following subfields:

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Atomic and Molecular Physics, and Optics
  • Geometry and Topology
  • Modeling and Simulation

Tian's research topics cover a range of complex issues within nonlinear and advanced physics, such as:

  • Nonlinear Waves and Solitons
  • Nonlinear Photonic Systems
  • Advanced Mathematical Physics Problems
  • Quantum Mechanics and Non-Hermitian Physics
  • Algebraic Structures and Combinatorial Models
  • Fractional Differential Equations Solutions
  • Advanced Fiber Laser Technologies

Their publication record includes several notable papers demonstrating ongoing contributions to the theoretical and applied aspects of nonlinear wave equations and soliton theory. Some recent works include:

  • "Riemann-Hilbert problem and interactions of solitons in the -component nonlinear Schrödinger equations" (2021), published in Studies in Applied Mathematics
  • "On the soliton resolution and the asymptotic stability of N-soliton solution for the Wadati-Konno-Ichikawa equation with finite density initial data in space-time solitonic regions" (2022), published in Advances in Mathematics
  • "A symmetry-preserving difference scheme and analytical solutions of a generalized higher-order beam equation" (2021), published in Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
  • "Soliton resolution for the complex short pulse equation with weighted Sobolev initial data in space-time solitonic regions" (2022), published in Journal of Differential Equations
  • "Soliton Resolution for the Wadati-Konno-Ichikawa Equation with Weighted Sobolev Initial Data" (2022), published in Annales Henri Poincaré

The scientist frequently collaborates with other researchers, with regular coauthors including:

  • Jin-Jie Yang
  • Tian-Tian Zhang
  • Zhiqiang Li
  • Xiaofan Zhang
  • Xiu-Bin Wang

Their works are commonly published in venues such as:

  • arXiv (Cornell University)
  • Physica D Nonlinear Phenomena
  • Journal of Mathematical Physics
  • East Asian Journal on Applied Mathematics
  • Applied Mathematics Letters

Best Publications

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

    Shou-Fu Tian

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

    Shou-Fu Tian

  • Lie symmetry analysis, conservation laws and solitary wave solutions to a fourth-order nonlinear generalized Boussinesq water wave equation

    Shou-Fu Tian

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

    Shou-Fu Tian;Hong-Qing Zhang

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

    Shou-Fu Tian;Shou-Fu Tian;Hong-Qing Zhang

  • 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

  • Riemann–Hilbert method and multi-soliton solutions for three-component coupled nonlinear Schrödinger equations

    Wei-Qi Peng;Shou-Fu Tian;Xiu-Bin Wang;Tian-Tian Zhang

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

    Shou-fu Tian;Hong-qing Zhang

  • 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

  • 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

  • Characteristics of the breather and rogue waves in a (2+1)-dimensional nonlinear Schrödinger equation

    Xiu-Bin Wang;Shou-Fu Tian;Tian-Tian Zhang

  • 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

  • Characteristics of the solitary waves and rogue waves with interaction phenomena in a generalized (3+1)-dimensional Kadomtsev–Petviashvili equation

    Xiu-Bin Wang;Shou-Fu Tian;Chun-Yan Qin;Tian-Tian Zhang

  • 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

  • Solitary waves, homoclinic breather waves and rogue waves of the (3+1)-dimensional Hirota bilinear equation

    Min-Jie Dong;Shou-Fu Tian;Xue-Wei Yan;Li Zou

  • Riemann theta functions periodic wave solutions and rational characteristics for the (1+1)-dimensional and (2+1)-dimensional Ito equation

    Shou-Fu Tian;Shou-Fu Tian;Hong-Qing Zhang

  • Characteristics of solitary wave, homoclinic breather wave and rogue wave solutions in a (2+1)-dimensional generalized breaking soliton equation

    Xue-Wei Yan;Shou-Fu Tian;Min-Jie Dong;Li Zhou

  • Bäcklund transformation, infinite conservation laws and periodic wave solutions to a generalized (2+1)-dimensional Boussinesq equation

    Mei-Juan Xu;Shou-Fu Tian;Shou-Fu Tian;Jian-Min Tu;Tian-Tian Zhang

  • Rogue waves, bright–dark solitons and traveling wave solutions of the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation

    Chun-Yan Qin;Shou-Fu Tian;Xiu-Bin Wang;Tian-Tian Zhang

  • Bäcklund transformation, rogue wave solutions and interaction phenomena for a $$ arvec{(3+1)}$$ ( 3 + 1 ) -dimensional B-type Kadomtsev–Petviashvili–Boussinesq equation

    Xue-Wei Yan;Shou-Fu Tian;Min-Jie Dong;Li Zou

  • On quasi-periodic waves and rogue waves to the (4+1)-dimensional nonlinear Fokas equation

    Xiu-Bin Wang;Shou-Fu Tian;Shou-Fu Tian;Lian-Li Feng;Tian-Tian Zhang

Frequent Co-Authors

Hongqing Zhang
Hongqing Zhang Dalian University of Technology

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