Nancy replica Perturbed KdV equations and their integrability properties sale online

ByElle Pop

Nancy replica Perturbed KdV equations and their integrability properties sale online

Perturbed KdV equations and their integrability properties PDF Accepted Version 3851KbAbstractIn this thesis we investigate the integrability properties of the regularized long wave (RLW) equation and modified regularized long wave (mRLW) equation as perturbations of the integrable Korteweg de Vries (KdV) equation. We study various properties of numerical mRLW three soliton scattering and compare these with the corresponding RLW soliton solutions. We find that the numerical mRLW solitons behave much like integrable solitons in the sense that the only result of the three soliton interaction is the phase shift each soliton experiences, which is approximately equal to the sum of pairwise phase shifts. Furthermore, we investigate the so called quasi integrability properties of these RLW and mRLW simulations. Finally, we also simulate numerical RLW and mRLW solutions in the presence of additional perturbing terms. This allows us to study soliton radiation interactions and we find that for certain perturbations, these interactions preserve the quasi conservation laws to a hermes replica bags hong kong certain extend.

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