Abstract
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.
Original language | English |
---|---|
Pages (from-to) | 2062-2071 |
Number of pages | 10 |
Journal | Mathematical Methods in the Applied Sciences |
Volume | 38 |
Issue number | 10 |
DOIs | |
State | Published - 15 Jul 2015 |
Bibliographical note
Publisher Copyright:Copyright © 2014 John Wiley & Sons, Ltd. Copyright © 2014 John Wiley & Sons, Ltd.
Keywords
- generalized Korteweg-de Vries equation
- interaction
- non-integrability
- soliton
- weak asymptotics method
- weak solution