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

We propose an algorithm for the construction of asymptotic m -phase soliton-type solutions of a singularly perturbed Korteweg–de Vries equation with variable coefficients and establish the accuracy with which the main term asymptotically satisfies the considered equation.

Saved in:
Bibliographic Details
Published in:Ukrainian mathematical journal 2012-12, Vol.64 (7), p.1109-1127
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 propose an algorithm for the construction of asymptotic m -phase soliton-type solutions of a singularly perturbed Korteweg–de Vries equation with variable coefficients and establish the accuracy with which the main term asymptotically satisfies the considered equation.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-012-0702-5