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

^*此作品的通讯作者

Dalian University of Technology
Shenyang Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

12 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	969-976
页数	8
期刊	Communications in Theoretical Physics
卷	44
期	6
DOI	https://doi.org/10.1088/6102/44/6/969
出版状态	已出版 - 15 12月 2005
已对外发布	是

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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

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ER -

New exact travelling wave solutions to kundu equation

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