International Journal of Computational and Applied Mathematics
  • Year: 2009
  • Volume: 4
  • Issue: 2

A variational Description of Non-linear Schrödinger Equation

  • Author:
  • Arun Kumar
  • Total Page Count: 6
  • Page Number: 159 to 164

Department of Mathematics, Government College, Kota (Rajasthan), India.

AMS Classification: 35 J 20, 35 J 35

Abstract

The Ritz variational method has been applied to the nonlinear Schrödinger equation to construct a model for the nonlinear evolution of instability. The spatially periodic trial function was chosen in the form of combination of Jacobian Elliptic functions with the dependence of its parameter subject to optimization.

Keywords

Elliptic Functions, Trial Function, Variational Method