Derivation of Korteweg-de Vries flow equations from fourth order nonlinear Schrodinger equation

Koparan M.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.37, no.3, pp.402-407, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 3
  • Publication Date: 2014
  • Doi Number: 10.1002/mma.2799
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.402-407
  • Keywords: nonlinear Schrodinger equation, KdV equation, multiple scales method, PERIODIC-SOLUTIONS, WAVE SOLUTIONS, PERTURBATION
  • Anadolu University Affiliated: Yes

Abstract

We perform a multiple scale analysis on the fourth order nonlinear Schrodinger equation in the Hamiltonian form together with the Hamiltonian function. We derive, as amplitude equations, Korteweg-de Vries flow equations in the bi-Hamiltonian form with the corresponding Hamiltonian functions. Copyright (c) 2013 John Wiley & Sons, Ltd.