A modified regularized long-wave equation with an exact two-soliton solution

J. D. Gibbon, J. C. Eilbeck, R. K. Dodd

Research output: Contribution to journalArticle

Abstract

Numerical studies of the regularized long-wave (RLW) equation u t+ux+(6u2-uxt)x=0 suggests it has a two-soliton solution although an analytic form for this has not yet been found. The authors show that a modified form of the RLW equation ut+ux+(4u2+2wxvt-u xt)x=0, with u=wt=vx, has an exact two-soliton solution. The modified equation has the same solitary-wave solution as the original equation and its analytic two-soliton solution agrees closely with the numerical solution of the RLW equation.

Original languageEnglish
Article number002
Pages (from-to)L127-L130
JournalJournal of Physics A: Mathematical and General
Volume9
Issue number10
DOIs
Publication statusPublished - 1976

Fingerprint Dive into the research topics of 'A modified regularized long-wave equation with an exact two-soliton solution'. Together they form a unique fingerprint.

  • Cite this