New exact solutions for the cubic-quintic nonlinear Schrödinger equation

Yan Ze Peng; E. V. Krishnan

doi:10.4310/cms.2007.v5.n2.a1

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 journal › Article › peer-review

2 Citations (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 language	English
Pages (from-to)	243-252
Number of pages	10
Journal	Communications in Mathematical Sciences
Volume	5
Issue number	2
DOIs	https://doi.org/10.4310/cms.2007.v5.n2.a1
Publication status	Published - 2007
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.4310/cms.2007.v5.n2.a1

Cite this

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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 Schr{\"o}dinger (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.",

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AU - Peng, Yan Ze

AU - Krishnan, E. V.

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AB - 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.

KW - The Stationary wave solution

KW - The cubic-quintic nonlinear Schrödinger equation

KW - Traveling wave solution

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New exact solutions for the cubic-quintic nonlinear Schrödinger equation

Abstract

Keywords

ASJC Scopus subject areas

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