Pramana

, Volume 57, Issue 5, pp 917–936

A variational approach to nonlinear evolution equations in optics

  • D Anderson
  • M Lisak
  • A Berntson
Theoretical Aspects Of Optical Solitons

DOI: 10.1007/s12043-001-0006-z

Cite this article as:
Anderson, D., Lisak, M. & Berntson, A. Pramana - J Phys (2001) 57: 917. doi:10.1007/s12043-001-0006-z

Abstract

A tutorial review is presented of the use of direct variational methods based on Rayleigh-Ritz optimization for finding approximate solutions to various nonlinear evolution equations. The practical application of the approach is demonstrated by some illustrative examples in connection with the nonlinear Schrödinger equation.

Keywords

Variational methodRayleigh-Ritz optimizationnonlinear Schrödinger equationEuler-Lagrange equationBose-Einstein condensatesmagnetic trap

PACS Nos

05.45Yv42.65.Tg

Copyright information

© Indian Academy of Sciences 2001

Authors and Affiliations

  • D Anderson
    • 1
  • M Lisak
    • 1
  • A Berntson
    • 1
    • 2
  1. 1.Department of ElectromagneticsChalmers University of TechnologyGöteborgSweden
  2. 2.Ericsson Telcom ABStockholmSweden