This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from...

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Main Author: Guo, Boling
Other Authors: Pang, Xiao-Feng, Wang, Yu-Feng, Liu, Nan
Format: eBook
Published: Berlin ; Boston De Gruyter 2018
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
Table of Contents:
  • Introduction
  • Inverse scattering transform
  • Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations
  • Interaction of solitons and its asymptotic properties
  • Hirota method
  • Bäcklund transformations and the infinitely many conservation laws
  • Multi-dimensional solitons and their stability
  • Numerical computation methods for some nonlinear evolution equations
  • The geometric theory of solitons
  • Global existence and blow up for the nonlinear evolution equations
  • The soliton movements of elementary particles in nonlinear quantum field
  • The theory of soliton movement of superconductive features
  • The soliton movements in condensed state systemsontents