New exact solutions for the cubic-quintic nonlinear Schrödinger equation

Yan Z. Peng, E. V. Krishnan

Research output: Contribution to journalArticle

1 Citation (Scopus)

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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Quintic
Nonlinear equations
Nonlinear Equations
Exact Solution
Cubic equation
Algebraic Methods
Traveling Wave Solutions
General Solution
Physics
Term

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

New exact solutions for the cubic-quintic nonlinear Schrödinger equation. / Peng, Yan Z.; Krishnan, E. V.

In: Communications in Mathematical Sciences, Vol. 5, No. 2, 2007, p. 243-252.

Research output: Contribution to journalArticle

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