7 research outputs found
Exact accelerating solitons in nonholonomic deformation of the KdV equation with two-fold integrable hierarchy
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.Comment: 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.