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

Özet

This article studies the bifurcation of periodic travelling wave solutions of nonlinear dispersive long wave equation by using Lyapunov-Schmidt reduction. We determined 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 solutions of the main problem.