Interaction of solitons and the effect of radiation for the generalized KdV equation

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We consider the generalized KdV equation with nonlinearity u4and small dispersion ε. Our main result consists in the conclusion that, in the leading term with respect to ε, the solitary waves interact in this model like KdV solitons but both small corrections of the soliton parameters and small radiation term appear as a result of the waves collision. Our main tool is the numerical simulation. © 2013 Elsevier B.V.
Original languageAmerican English
Pages (from-to)2724-2733
Number of pages10
JournalCommunications in Nonlinear Science and Numerical Simulation
DOIs
StatePublished - 1 Aug 2014

Fingerprint

Dive into the research topics of 'Interaction of solitons and the effect of radiation for the generalized KdV equation'. Together they form a unique fingerprint.

Cite this