Title of article :
LYAPUNOV-SCHMIDT REDUCTION IN THE STUDY OF PERIODIC TRAVELLING WAVE SOLUTIONS OF NONLINEAR DISPERSIVE LONG WAVE EQUATION
Author/Authors :
ABDUL HUSSAIN, MUDHIR A Department of Mathematics - College of Education for Pure Sciences - University of Basrah - Basrah,Iraq
Abstract :
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.
Keywords :
local bifurcation theory , local Lyapunov-Schmidt method , nonlinear dispersive long wave equation
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
