2 + 1 KdV(N) equations
Date
2011
Authors
Gürses, M.
Pekcan, A.
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Supervisor
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Source Title
Journal of Mathematical Physics
Print ISSN
0022-2488
Electronic ISSN
1089-7658
Publisher
American Institute of Physics
Volume
52
Issue
8
Pages
Language
English
Type
Article
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Abstract
We present some nonlinear partial differential equations in 2 + 1-dimensions derived from the KdV equation and its symmetries. We show that all these equations have the same 3-soliton solution structures. The only difference in these solutions are the dispersion relations. We also show that they possess the Painlevé property. © 2011 American Institute of Physics.