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

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.