New explicit solitary wave solutions for (2 + 1)-dimensional Boussinesq equation and (3 + 1)-dimensional KP equation

Yong Chen; Zhenya Yan; Honging Zhang

doi:10.1016/S0375-9601(02)01668-7

New explicit solitary wave solutions for (2 + 1)-dimensional Boussinesq equation and (3 + 1)-dimensional KP equation

Yong Chen^*
, Zhenya Yan
, Honging Zhang

^*此作品的通讯作者

Dalian University of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

147 引用（Scopus）

摘要

In this Letter, we study (2 + 1)-dimensional Boussinesq equation and (3 + 1)-dimensional KP equation by using the new generalized transformation in Homogeneous Balance Method (HBM). As a result, many explicit exact solutions, which contain new solitary wave solutions, periodic wave solutions and the combined formal solitary wave solutions and periodic wave solutions, are obtained.

源语言	英语
页（从-至）	107-113
页数	7
期刊	Physics Letters, Section A: General, Atomic and Solid State Physics
卷	307
期	2-3
DOI	https://doi.org/10.1016/S0375-9601(02)01668-7
出版状态	已出版 - 27 1月 2003
已对外发布	是

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title = "New explicit solitary wave solutions for (2 + 1)-dimensional Boussinesq equation and (3 + 1)-dimensional KP equation",

abstract = "In this Letter, we study (2 + 1)-dimensional Boussinesq equation and (3 + 1)-dimensional KP equation by using the new generalized transformation in Homogeneous Balance Method (HBM). As a result, many explicit exact solutions, which contain new solitary wave solutions, periodic wave solutions and the combined formal solitary wave solutions and periodic wave solutions, are obtained.",

keywords = "Boussinesq equation, HBM, KP equation, Periodic wave solution, Riccati equation, Solitary wave solution",

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T1 - New explicit solitary wave solutions for (2 + 1)-dimensional Boussinesq equation and (3 + 1)-dimensional KP equation

AU - Chen, Yong

AU - Yan, Zhenya

AU - Zhang, Honging

PY - 2003/1/27

Y1 - 2003/1/27

N2 - In this Letter, we study (2 + 1)-dimensional Boussinesq equation and (3 + 1)-dimensional KP equation by using the new generalized transformation in Homogeneous Balance Method (HBM). As a result, many explicit exact solutions, which contain new solitary wave solutions, periodic wave solutions and the combined formal solitary wave solutions and periodic wave solutions, are obtained.

AB - In this Letter, we study (2 + 1)-dimensional Boussinesq equation and (3 + 1)-dimensional KP equation by using the new generalized transformation in Homogeneous Balance Method (HBM). As a result, many explicit exact solutions, which contain new solitary wave solutions, periodic wave solutions and the combined formal solitary wave solutions and periodic wave solutions, are obtained.

KW - Boussinesq equation

KW - HBM

KW - KP equation

KW - Periodic wave solution

KW - Riccati equation

KW - Solitary wave solution

UR - https://www.scopus.com/pages/publications/2042523036

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DO - 10.1016/S0375-9601(02)01668-7

M3 - 文章

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 2-3

ER -

New explicit solitary wave solutions for (2 + 1)-dimensional Boussinesq equation and (3 + 1)-dimensional KP equation

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