LYAPUNOV-SCHMIDT REDUCTION IN THE STUDY OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION

MUDHIR A. ABDUL HUSSAIN

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Abstract

This article studies the bifurcation of periodic travelling wave solutions of nonlinear dispersive long wave equation by using Lyapunov-Schmidt reduction. We de- termined the conditions for the existence of regular solutions for the reduced equation corresponding to the main problem, also we found the linear approximation of the solu- tions of the main problem.

Keywords

local bifurcation theory, local Lyapunov-Schmidt method, nonlinear disper- sive long wave equation.