International Journal of Mathematics and Mathematical Sciences 
Volume 27 (2001), Issue 4, Pages 215-220
doi:10.1155/S0161171201006615

Higher-order KdV-type equations and their stability

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

 Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al-Khod 123, Muscat, Oman
Received 29 January 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.