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arXiv · 0710.0467

Inelastically generated solitons and anti-solitons in the perturbed KdV equation

Yair Zarmi
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Abstract

Under the effect of common perturbations, the multiple-soliton solution of the KdV equation is transformed into a sum of an elastic and a first-order inelastic component. The elastic component is a perturbation series, identical in structure to the perturbed single-soliton solution. It preserves the soliton-scattering picture. The inelastic component is generated by perturbation terms that represent coupling between KdV solitons and inelastically generated soliton-anti-soliton waves. It asymptotes into solitons and anti-solitons, that evolve along the characteristic lines of the KdV solitons. This is demonstrated in the two-soliton case.

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Yair Zarmi. 2007-10-02. Inelastically generated solitons and anti-solitons in the perturbed KdV equation. https://arxiv.org/abs/0710.0467

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