Non-propagating solitons of the non-isospectral and variable coefficient modified KdV equation
- 7 February 1994
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 27 (3), 883-902
- https://doi.org/10.1088/0305-4470/27/3/028
Abstract
The AKNS system associated with a non-isospectral and variable coefficient mKdV equation is presented. The method of inverse scattering is adapted to the non-isospectral situation to determine the time evolution of the scattering data. N-soliton solutions are obtained. Examples of oscillating or standing one-solitons with unusual dynamics are given. An in-depth study of the two-soliton case is carried out by appropriately decomposing the solution into individual soliton elements in order to examine their interactions. Breathers are also constructed.Keywords
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