Numerical study of the regularized long-wave equation. II: Interaction of solitary waves

J. C. Eilbeck, G. R. M

Research output: Contribution to journalArticle

Abstract

Numerical studies of solitary wave solutions of the regularized long-wave (RLW) equation, µtx + µµx - µxxt = 0, show that they exhibit true soliton behavior, being stable on collision with other solitary waves. Furthermore, arbitrary initial pulses break up into solitary waves together with an oscillating tail. Even at large amplitudes where large discrepancies might have been expected, the behavior of solutions of the RLW equation mirrors closely, both qualitatively and quantitavely, the behavior of solutions of the Korteweg-de Vries equation. © 1977.

Original languageEnglish
Pages (from-to)63-73
Number of pages11
JournalJournal of Computational Physics
Volume23
Issue number1
Publication statusPublished - Jan 1977

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