Multiple Exact Travelling Solitary Wave Solutions of Nonlinear Evolution Equations
M. M. El-Horbaty *
Department of Mathematics, Faculty of Science, Zagazig University, Egypt.
F. M. Ahmed
Department of Mathematics, Faculty of Science, Alegelat, Zawia University, Libya.
*Author to whom correspondence should be addressed.
Abstract
An extended Tanh-function method with Riccati equation is presented for constructing multiple exact travelling wave solutions of some nonlinear evolution equations which are particular cases of a generalized equation. The results of solitary waves are general compact forms with non-zero constants of integration. Taking the full advantage of the Riccati equation improves the applicability and reliability of the Tanh method with its extended form.
Keywords: Extended Tanh method, Riccati equation, solitary waves, evolution equations.