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

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

2008-06-17

arxiv.org/abs/0806.2743v2

J. Phys. A: Math. Theor. 41 (2008) 495201

Nonlinear Sciences

Exactly Solvable and Integrable Systems

7 pages, 2 figures, latex. Exact explicit exact N-soliton solutions (through ISM) for KdV field u and deforming function w are

Scientific paper

10.1088/1751-8113/41/49/495201

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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