New exact solutions for the cubic-quintic nonlinear Schrödinger equation

Yan Ze Peng*, E. V. Krishnan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


The algebraic method is developed to obtain new exact solutions, including stationary wave solutions and traveling wave solutions, for the cubic-quintic nonlinear Schrödinger (NLS) equation. Specifically, we present two general solution formulae, which degenerate to the corresponding solution of the cubic NLS equation, when the quintic nonlinear term is absent. It is expected that they are useful in correlative physics fields.

Original languageEnglish
Pages (from-to)243-252
Number of pages10
JournalCommunications in Mathematical Sciences
Issue number2
Publication statusPublished - 2007


  • The Stationary wave solution
  • The cubic-quintic nonlinear Schrödinger equation
  • Traveling wave solution

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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