• 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

  • Pages
    8
  • From page
    303
  • To page
    310
  • 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
  • Serial Year
    2017
  • Full Text URL
    jaem.isikun.edu.tr/web/images/articles/vol.7.no.2/12.pdf
  • Record number

    2581642

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2581642