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

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

2007-10-02

arxiv.org/abs/0710.0467v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Inelastically generated solitons and anti-solitons in the perturbed KdV equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Inelastically generated solitons and anti-solitons in the perturbed KdV equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inelastically generated solitons and anti-solitons in the perturbed KdV equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-7039