Higher-order KdV-type equations and their stability

E. V. Krishnan; Q. J. A. Khan

doi:10.1155/S0161171201006615

International Journal of Mathematics and Mathematical Sciences (Jan 2001)

Higher-order KdV-type equations and their stability

E. V. Krishnan,
Q. J. A. Khan

Affiliations

E. V. Krishnan: Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al-Khod 123, Muscat, Oman
Q. J. A. Khan: Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al-Khod 123, Muscat, Oman

DOI: https://doi.org/10.1155/S0161171201006615
Journal volume & issue: Vol. 27, no. 4
pp. 215 – 220

Abstract

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We have derived solitary wave solutions of generalized KdV-type equations of fifth order in terms of certain hyperbolic functions and investigated their stability. It has been found that the introduction of more dispersive effects increases the stability range.

Published in International Journal of Mathematics and Mathematical Sciences

ISSN: 0161-1712 (Print); 1687-0425 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/6396

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