Paper Info
Title
Painlevé analysis and exact solutions of the Korteweg-de Vries equation with a source.
Abstract
We consider the Korteweg–de Vries equation with a source. The source depends on the solution as polynomials with constant coefficients. Using the Painlevé test we show that the generalized Korteweg–de Vries equation is not integrable by the inverse scattering transform. However there are some exact solutions of the generalized Korteweg–de Vries equation for two forms of the source. We present these exact solutions.
Year
DOI
Venue
2015
10.1016/j.aml.2014.10.015
Applied Mathematics Letters
Keywords
Field
DocType
Korteweg–de Vries equation,Painlevé property,Exact solution,Painlevé test,Logistic function
Exact solutions in general relativity,Integrable system,Soliton,Inverse scattering transform,Dispersionless equation,Mathematical analysis,Mathematical physics,Constant coefficients,Cnoidal wave,Korteweg–de Vries equation,Mathematics
Journal
Volume
ISSN
Citations 
41
0893-9659
5
PageRank 
References 
Authors
0.96
5
1
Name
Order
Citations
PageRank
Nikolay A. Kudryashov14915.72