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
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.