Mathematical and Computational Sciences | Article | Published 2021

PLANE WAVES ON SHALLOW POLLUTED WATERS

Keywords: shallow polluted waters, perturbed Korteweg-de Vries equation, inverse scattering method, single-soliton solution.

Abstract

In this work, using inverse scattering techniques, the evolution of the single-soliton solution of the Korteweg-de Vries equation in the presence of perturbations is analyzed. The evolution of the scattering data is found for the Sturm-Liouville operator, the potential of which is a solution to the perturbed Korteweg-de Vries equation.The results obtained are illustrated with an example.The results can be applied to studying the process of wave propagation on shallow polluted waters.

References

  1. https://www.researchgate.net/publication/353428811_PLANE_WAVES_ON_SHALLOW_POLLUTED_WATERS
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