Paper Info
Title
Lax pair and first integrals of the traveling wave reduction for the KdV hierarchy.
Abstract
The traveling wave reduction of the Korteweg-de Vries hierarchy is considered. The linear system of equations associated with this hierarchy is found. The Lax pair is used to obtain the first integrals of the traveling wave reduction for the Korteweg-de Vries hierarchy. Exact formulas for the first integrals of the hierarchy are given. The first three members of the hierarchy are considered in more detail. These first integrals are the examples of the integrable nonlinear differential equations with the Painlevé property. Exact solutions in the form of the soliton for the traveling wave reduction of the Korteweg-de Vries hierarchy and its first integrals are presented.
Year
DOI
Venue
2019
10.1016/j.amc.2019.01.034
Applied Mathematics and Computation
Keywords
Field
DocType
KdV hierarchy,Traveling wave reduction,Lax pair,First integral
Integrable system,Soliton,Traveling wave,System of linear equations,Mathematical analysis,KdV hierarchy,Lax pair,Hierarchy,Mathematics,First integrals
Journal
Volume
ISSN
Citations 
350
0096-3003
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
Nikolay A. Kudryashov14915.72