Soliton‐type asymptotics for non‐integrable equations: a survey | Zendy

Omel'yanov Georgy A. | Zendy

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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.

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