Classification of bounded travelling wave solutions of the generalized Zakharov equation

Document Type: Regular Paper


1 Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran, 84156-83111

2 Department of Mathematical Sciences, University of Kashan, Ravand Road, Kashan, Iran, 87317-53153


By using bifurcation theory of planar ordinary differential equations all different bounded travelling wave
solutions of the Generalized Zakharov equation are classified in different parametric regions . In each of these
parametric regions the exact explicit parametric representation of all solitary , kink (anti kink) and periodic wave
solutions as well as their numerical simulation and their corresponding phase portraits are obtained .