Simple Similarity-Type Multiple-Decay-Mode Solution of the Two-Dimensional Korteweg-de Vries Equation
- 23 March 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 46 (12) , 751-753
- https://doi.org/10.1103/physrevlett.46.751
Abstract
Similarity-type decay-mode solutions of the two-dimensional Korteweg-de Vries equation, , with being constant, have been obtained explicitly in the simple analytic functions. Solutions of this decay mode have nonlinear superposition property similar to soliton solutions. Generalization of the customary Bäcklund transform enables one to produce multiple-soliton, multiple-decay-mode solutions.
Keywords
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