Exact accelerating solitons in nonholonomic deformation of the KdV equation with two-fold integrable hierarchy
classification
🌊 nlin.SI
keywords
nonholonomicdeformationequationexacthierarchyhigherintegrabletwo-fold
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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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