Asymptotic m-phase soliton-type solutions of a singularly perturbed Korteweg–de Vries equation with variable coefficients. II

We consider the problem of the construction of higher terms of asymptotic many-phase soliton-type solutions of a singularly perturbed Korteweg–de Vries equation with variable coefficients and determine the accuracy with which the obtained asymptotic solution satisfies the original equation.

Saved in:
Bibliographic Details
Published in:Ukrainian mathematical journal 2013, Vol.64 (8), p.1241-1259
Main Authors: Samoilenko, V. H., Samoilenko, Yu. I.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider the problem of the construction of higher terms of asymptotic many-phase soliton-type solutions of a singularly perturbed Korteweg–de Vries equation with variable coefficients and determine the accuracy with which the obtained asymptotic solution satisfies the original equation.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-013-0713-x