New exact solutions for the cubic-quintic nonlinear Schrödinger equation

Yan Z. Peng, E. V. Krishnan

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Abstract

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
Volume5
Issue number2
Publication statusPublished - 2007

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Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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