Exact accelerating solitons in nonholonomic deformation of the KdV equation with two-fold integrable hierarchy
Exactly Solvable and Integrable Systems
2010-09-20 v2
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.
Keywords
Cite
@article{arxiv.0806.2743,
title = {Exact accelerating solitons in nonholonomic deformation of the KdV equation with two-fold integrable hierarchy},
author = {Anjan Kundu},
journal= {arXiv preprint arXiv:0806.2743},
year = {2010}
}
Comments
7 pages, 2 figures, latex. Exact explicit exact N-soliton solutions (through ISM) for KdV field u and deforming function w are included. Version to be published in J. Phys. A