Inelastic soliton processes generated by the perturbed KdV equation

Details Inelastic soliton processes generated by the perturbed KdV equation Inelastic soliton processes generated by the perturbed KdV equation

2007-10-15

arxiv.org/abs/0710.2804v1

Nonlinear Sciences

Pattern Formation and Solitons

11 pages, including 5 figures

Scientific paper

Perturbations commonly added to the KdV equation contain terms that represent inelastic interac-tions among KdV solitons in multiple-soliton solutions. These terms trigger the emergence of new waves in the first-order correction to the solution of the perturbed equation. The new waves can represent soliton-anti-soliton creation, annihilation and scattering. Other possible waves represent soliton decay and production.

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