On the complete integrability of an equation having solitons but not known to have a Lax pair

It is usually assumed that a system having N-soliton solutions is completely integrable. Here we have analyzed a set of equations occuring in case of capillary gravity waves. Though the system under discussion has N-soliton solutions, it has yet to be shown that the system is completely integrable....

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Bibliographic Details
Main Authors: A. Roychowdhury, G. Mahato
Format: Article
Language:English
Published: Wiley 1986-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171286000674
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