Multisoliton solutions of nonlinear dispersive wave equations not soluble by the inverse method
- 1 July 1975
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 8 (7), L64-L68
- https://doi.org/10.1088/0305-4470/8/7/002
Abstract
Numerical solutions of certain physically important generalized sine-Gordon equations display complex multisoliton behaviour. Two theorems show that these equations have neither Backlund transformations nor an infinity of polynomial conserved densities. Yet all known equations with multisoliton solutions obtained by the inverse method seem to yield both.Keywords
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