Inelastic soliton processes generated by the perturbed KdV equation

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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.
Original languageEnglish GB
StatePublished - 1 Oct 2007

Keywords

  • Nonlinear Sciences - Pattern Formation and Solitons

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