Journal of Nonlinear Mathematical Physics

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Volume 15, Issue 4, December 2008, Pages 383 - 397

Symmetry analysis for Whitham-Broer-Kaup equations

Authors
Zhiyong Zhang, Xuelin Yong, Yufu Chen
Corresponding Author
Zhiyong Zhang
Received 14 September 2008, Accepted 12 December 2008, Available Online 29 December 2008.
DOI
10.2991/jnmp.2008.15.4.3How to use a DOI?
Abstract

We investigate a further group analysis of Whitham-Broer-Kaup(for short WBK) equations. An optimal system of one-dimensional subalgebras is derived and used to construct reduced equations and similarity solutions. Moreover, a special case of WBK equations is linearized and some new solutions are obtained. At last, conservation laws are also analyzed by means of scaling symmetry.

Copyright
© 2009, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
15 - 4
Pages
383 - 397
Publication Date
2008/12/29
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2008.15.4.3How to use a DOI?
Copyright
© 2009, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Zhiyong Zhang
AU  - Xuelin Yong
AU  - Yufu Chen
PY  - 2008
DA  - 2008/12/29
TI  - Symmetry analysis for Whitham-Broer-Kaup equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 383
EP  - 397
VL  - 15
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2008.15.4.3
DO  - 10.2991/jnmp.2008.15.4.3
ID  - Zhang2008
ER  -