Travelling wave solutions in a class of generalized Korteweg-de Vries equation

Jianwei Shen, Wei Xu

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In this paper, we consider a new generalization of KdV equation ut = uxul-2 + α[2uxxxup + 4pup-1uxuxx + p(p - 1)up- 2(ux)3] and investigate its bifurcation of travelling wave solutions. From the above analysis, we know that there exists compacton and cusp waves in the system. We explain the reason that these non-smooth travelling wave solution arise by using the bifurcation theory.

Original languageEnglish
Pages (from-to)1299-1306
Number of pages8
JournalChaos, Solitons and Fractals
Volume34
Issue number4
DOIs
StatePublished - Nov 2007

Fingerprint

Dive into the research topics of 'Travelling wave solutions in a class of generalized Korteweg-de Vries equation'. Together they form a unique fingerprint.

Cite this