On higher-order corrections in soliton perturbation theory
- 1 April 1991
- journal article
- Published by IOP Publishing in Inverse Problems
- Vol. 7 (2) , 221-230
- https://doi.org/10.1088/0266-5611/7/2/006
Abstract
A scheme is proposed for calculating higher-order corrections to a soliton in the presence of perturbations. This approach, which is based on the matrix Riemann problem, has made it possible to avoid the use of integral equations. As an example, second-order corrections are calculated to the soliton of the nonlinear Schrodinger equation with a dissipative perturbation.Keywords
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