Publication:
On exact travelling wave solutions for two types of nonlinear K (n, n) equations and a generalized KP equation

1

Issued Date

2008-03-01

Resource Type

Article

ISSN

03770427

DOI

10.1016/j.cam.2006.12.008

Other identifier(s)

2-s2.0-37249063037

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Journal of Computational and Applied Mathematics. Vol.212, No.2 (2008), 291-299

Suggested Citation

Shaoyong Lai, Y. H. Wu, B. Wiwatanapataphee On exact travelling wave solutions for two types of nonlinear K (n, n) equations and a generalized KP equation. Journal of Computational and Applied Mathematics. Vol.212, No.2 (2008), 291-299. doi:10.1016/j.cam.2006.12.008 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/19418

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Title

On exact travelling wave solutions for two types of nonlinear K (n, n) equations and a generalized KP equation

Author(s)

Shaoyong Lai
 Y. H. Wu
 B. Wiwatanapataphee

Other Contributor(s)

Southwest University of Finance and EcoNomics
 Curtin University
 Mahidol University

Abstract

In this paper, we study two types of genuinely nonlinear K (n, n) equations and a generalized KP equation. By developing a mathematical method based on the reduction of order of nonlinear differential equations, we derive general formulas for the travelling wave solutions of the three equations. The compactons, solitary patterns, solitons and periodic solutions obtained are expressed analytically. It is shown that the y and z components of the wave number vectors in the travelling wave solutions of the generalized KP equation remain free and arbitrary constants. The work generalizes the known results of travelling wave solutions for the three equations. © 2007 Elsevier B.V. All rights reserved.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/123456789/19418

Collections

Scopus 2006-2010