New exact solutions for the cubic-quintic nonlinear Schrödinger equation

Yan Z. Peng; E. V. Krishnan

New exact solutions for the cubic-quintic nonlinear Schrödinger equation

Yan Z. Peng^*, E. V. Krishnan

^*Corresponding author for this work

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	243-252
Number of pages	10
Journal	Communications in Mathematical Sciences
Volume	5
Issue number	2
Publication status	Published - 2007

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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title = "New exact solutions for the cubic-quintic nonlinear Schr{\"o}dinger equation",

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.",

keywords = "The cubic-quintic nonlinear Schr{\"o}dinger equation, The Stationary wave solution, Traveling wave solution",

author = "Peng, {Yan Z.} and Krishnan, {E. V.}",

year = "2007",

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AU - Peng, Yan Z.

AU - Krishnan, E. V.

PY - 2007

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N2 - 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.

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 cubic-quintic nonlinear Schrödinger equation

KW - The Stationary wave solution

KW - Traveling wave solution

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