Communications in Mathematical Sciences

New exact solutions for the cubic-quintic nonlinear Schrödinger equation

Yan-Ze Peng and E.V. Krishnan

Full-text: Open access

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.

Article information

Source
Commun. Math. Sci., Volume 5, Issue 2 (2007), 243-252.

Dates
First available in Project Euclid: 9 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.cms/1183990364

Mathematical Reviews number (MathSciNet)
MR2334841

Zentralblatt MATH identifier
1194.35381

Subjects
Primary: 35Q35: PDEs in connection with fluid mechanics 35B20: Perturbations 37K45: Stability problems

Keywords
The cubic-quintic nonlinear SchrÄodinger equation the stationary wave solution traveling wave solution

Citation

Peng, Yan-Ze; Krishnan, E.V. New exact solutions for the cubic-quintic nonlinear Schrödinger equation. Commun. Math. Sci. 5 (2007), no. 2, 243--252. https://projecteuclid.org/euclid.cms/1183990364


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