New exact solutions for modified nonlinear dispersive equations mK(m,n) in higher dimensions spaces

Yong Chen; Biao Li; Hongqing Zhang

doi:10.1016/j.matcom.2003.10.005

New exact solutions for modified nonlinear dispersive equations mK(m,n) in higher dimensions spaces

Yong Chen^*
, Biao Li
, Hongqing Zhang

^*此作品的通讯作者

科研成果: 期刊稿件 › 文章 › 同行评审

11 引用（Scopus）

摘要

With the use of some proper transformations and symbolic computation, we present a general and unified method for investigating the general modified nonlinear dispersive equations mK(m,n) in higher dimensions spaces. The work formally shows how to construct the general solutions and some special exact-solutions for mK(m,n) equations in higher dimensional spatial domains. The general solutions not only contain the solutions by Wazwaz [Math. Comput. Simulation 59 (2002) 519] but also contain many new compact and noncompact solutions.

源语言	英语
页（从-至）	549-559
页数	11
期刊	Mathematics and Computers in Simulation
卷	64
期	5
DOI	https://doi.org/10.1016/j.matcom.2003.10.005
出版状态	已出版 - 25 2月 2004
已对外发布	是

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10.1016/j.matcom.2003.10.005

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abstract = "With the use of some proper transformations and symbolic computation, we present a general and unified method for investigating the general modified nonlinear dispersive equations mK(m,n) in higher dimensions spaces. The work formally shows how to construct the general solutions and some special exact-solutions for mK(m,n) equations in higher dimensional spatial domains. The general solutions not only contain the solutions by Wazwaz [Math. Comput. Simulation 59 (2002) 519] but also contain many new compact and noncompact solutions.",

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T1 - New exact solutions for modified nonlinear dispersive equations mK(m,n) in higher dimensions spaces

AU - Chen, Yong

AU - Li, Biao

AU - Zhang, Hongqing

PY - 2004/2/25

Y1 - 2004/2/25

N2 - With the use of some proper transformations and symbolic computation, we present a general and unified method for investigating the general modified nonlinear dispersive equations mK(m,n) in higher dimensions spaces. The work formally shows how to construct the general solutions and some special exact-solutions for mK(m,n) equations in higher dimensional spatial domains. The general solutions not only contain the solutions by Wazwaz [Math. Comput. Simulation 59 (2002) 519] but also contain many new compact and noncompact solutions.

AB - With the use of some proper transformations and symbolic computation, we present a general and unified method for investigating the general modified nonlinear dispersive equations mK(m,n) in higher dimensions spaces. The work formally shows how to construct the general solutions and some special exact-solutions for mK(m,n) equations in higher dimensional spatial domains. The general solutions not only contain the solutions by Wazwaz [Math. Comput. Simulation 59 (2002) 519] but also contain many new compact and noncompact solutions.

KW - Symbolic computation

KW - Travelling wave solution

KW - mK(m,n) equations

UR - https://www.scopus.com/pages/publications/1242298456

U2 - 10.1016/j.matcom.2003.10.005

DO - 10.1016/j.matcom.2003.10.005

M3 - 文章

AN - SCOPUS:1242298456

SN - 0378-4754

VL - 64

SP - 549

EP - 559

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

IS - 5

ER -

New exact solutions for modified nonlinear dispersive equations mK(m,n) in higher dimensions spaces

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