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Abstracts
Based on the singular structure analysis, the variable separation method is proposed for the Nizhnik-Novikov-Veselov equation to obtain a general functional separation solution containing three arbitrary functions. Choosing these arbitrary functions to be the Jacobi elliptic functions, a diversity of elliptic function solutions may be obtained for the equation of interest. The interaction property of the waves is numerically studied. The long wave limit gives the new type of localized coherent structures.
Keywords
Discipline
Journal
Year
Volume
Issue
Pages
3-9
Physical description
Dates
published
2006-07
received
2005-10-10
(unknown)
2006-01-31
Contributors
author
- Department of Mathematics, Huazhong University of Science and Technology, Wuhan, 430074, P.R. China
References
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv110n101kz