Decay mode solution of the two-dimensional KdV equation and the generalized Bäcklund transformation
- 1 November 1981
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 22 (11), 2456-2462
- https://doi.org/10.1063/1.524804
Abstract
We consider the generalization of the customary Bäcklund transform (≡BT) for the two-dimensional (2D) KdV equation, (ut+6uux+uxxx)x +3α2uyy = 0, with α being constant. A nonlinear superposition formula has been obtained and it is shown that the present generalized BT can produce multiple soliton–multiple decay mode solutions.Keywords
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