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arXiv · 0806.2743

Exact accelerating solitons in nonholonomic deformation of the KdV equation with two-fold integrable hierarchy

Anjan Kundu
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Abstract

Recently proposed nonholonomic deformation of the KdV equation is solved through inverse scattering method by constructing AKNS-type Lax pair. Exact and explicit N-soliton solutions are found for the basic field and the deforming function showing an unusual accelerated (decelerated) motion. A two-fold integrable hierarchy is revealed, one with usual higher order dispersion and the other with novel higher nonholonomic deformations.

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Anjan Kundu. 2008-06-17. Exact accelerating solitons in nonholonomic deformation of the KdV equation with two-fold integrable hierarchy. https://doi.org/10.1088/1751-8113/41/49/495201

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