Premium
Soliton‐type asymptotics for non‐integrable equations: a survey
Author(s) -
Omel'yanov Georgy A.
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3198
Subject(s) - integrable system , soliton , mathematics , type (biology) , mathematical physics , dispersionless equation , korteweg–de vries equation , dispersion (optics) , construct (python library) , mathematical analysis , partial differential equation , nonlinear system , physics , kadomtsev–petviashvili equation , quantum mechanics , characteristic equation , computer science , ecology , programming language , biology
We describe some approaches to construct soliton‐type asymptotic solutions for non‐integrable equations, including multisoliton case. As an example, we use the generalized Korteweg‐de Vries‐4 equation with small dispersion. Copyright © 2014 John Wiley & Sons, Ltd.