On integrability of variable coefficient nonlinear Schrödinger equations

Cihangir Özemir, Faruk Güngör

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

We apply Painlevé test to the most general variable coefficient nonlinear Schrödinger (VCNLS) equations as an attempt to identify integrable classes and compare our results versus those obtained by the use of other tools like group-theoretical approach and the Lax pairs technique of the soliton theory. We presented some exact solutions based on point transformations relating analytic solutions of VCNLS equations for specific choices of the coefficients to those of the standard integrable NLS equation.

Original languageEnglish
Article number1250015
JournalReviews in Mathematical Physics
Volume24
Issue number7
DOIs
Publication statusPublished - 1 Aug 2012

Keywords

  • exact solution
  • Nonlinear Schrödinger equation
  • Painlevé test
  • point transformation

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