Inelastic soliton processes generated by the perturbed KdV equation

Abstract

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.