International Journal of Mathematics and Mathematical Sciences

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International Journal of Mathematics and Mathematical Sciences / 2001 / Article

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Volume 27 |Article ID 897640 | 6 pages | https://doi.org/10.1155/S0161171201006615

Higher-order KdV-type equations and their stability

E. V. Krishnan1 and Q. J. A. Khan1

1Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al-Khod 123, Oman

Received29 Jan 2001

Abstract

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.

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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