New exact travelling wave solutions to kundu equation

Dirig Jiang Huang; De Sheng Li; Hong Qing Zhang

doi:10.1088/6102/44/6/969

New exact travelling wave solutions to kundu equation

Dirig Jiang Huang^*
, De Sheng Li
, Hong Qing Zhang

^*Corresponding author for this work

Dalian University of Technology
Shenyang Normal University

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

12 Scopus citations

Abstract

Based on a first-order nonlinear ordinary differential equation with six-degree nonlinear term, we first present a new auxiliary equation expansion method and its algorithm. Being concise and straightforward, the method is applied to the Kundu equation. As a result, some new exact travelling wave solutions are obtained, which include bright and dark solitary wave solutions, triangular periodic wave solutions, and singular solutions. This algorithm can also be applied to other nonlinear evolution equations in mathematical physics.

Original language	English
Pages (from-to)	969-976
Number of pages	8
Journal	Communications in Theoretical Physics
Volume	44
Issue number	6
DOIs	https://doi.org/10.1088/6102/44/6/969
State	Published - 15 Dec 2005
Externally published	Yes

Keywords

Algorithm
Exact solution
Kundu equation
Nonlinear evolution equation
Ordinary differential equation
Travelling wave solution

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10.1088/6102/44/6/969

Cite this

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title = "New exact travelling wave solutions to kundu equation",

abstract = "Based on a first-order nonlinear ordinary differential equation with six-degree nonlinear term, we first present a new auxiliary equation expansion method and its algorithm. Being concise and straightforward, the method is applied to the Kundu equation. As a result, some new exact travelling wave solutions are obtained, which include bright and dark solitary wave solutions, triangular periodic wave solutions, and singular solutions. This algorithm can also be applied to other nonlinear evolution equations in mathematical physics.",

keywords = "Algorithm, Exact solution, Kundu equation, Nonlinear evolution equation, Ordinary differential equation, Travelling wave solution",

author = "Huang, \{Dirig Jiang\} and Li, \{De Sheng\} and Zhang, \{Hong Qing\}",

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AU - Huang, Dirig Jiang

AU - Li, De Sheng

AU - Zhang, Hong Qing

PY - 2005/12/15

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N2 - Based on a first-order nonlinear ordinary differential equation with six-degree nonlinear term, we first present a new auxiliary equation expansion method and its algorithm. Being concise and straightforward, the method is applied to the Kundu equation. As a result, some new exact travelling wave solutions are obtained, which include bright and dark solitary wave solutions, triangular periodic wave solutions, and singular solutions. This algorithm can also be applied to other nonlinear evolution equations in mathematical physics.

AB - Based on a first-order nonlinear ordinary differential equation with six-degree nonlinear term, we first present a new auxiliary equation expansion method and its algorithm. Being concise and straightforward, the method is applied to the Kundu equation. As a result, some new exact travelling wave solutions are obtained, which include bright and dark solitary wave solutions, triangular periodic wave solutions, and singular solutions. This algorithm can also be applied to other nonlinear evolution equations in mathematical physics.

KW - Algorithm

KW - Exact solution

KW - Kundu equation

KW - Nonlinear evolution equation

KW - Ordinary differential equation

KW - Travelling wave solution

UR - https://www.scopus.com/pages/publications/32044450589

U2 - 10.1088/6102/44/6/969

DO - 10.1088/6102/44/6/969

M3 - 文章

AN - SCOPUS:32044450589

SN - 0253-6102

VL - 44

SP - 969

EP - 976

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 6

ER -

New exact travelling wave solutions to kundu equation

Abstract

Keywords

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