Skip to main content
Article thumbnail
Location of Repository

A solitary-wave solution to a perturbed KdV equation

By M. A. Allen and G. (George) Rowlands

Abstract

We derive the approximate form and speed of a solitary-wave solution to a perturbed KdV equation. Using a conventional perturbation expansion, one can derive a first-order correction to the solitary-wave speed, but at the next order, algebraically secular terms appear, which produce divergences that render the solution unphysical. These terms must be treated by a regrouping procedure developed by us previously. In this way, higher-order corrections to the speed are obtained, along with a form of solution that is bounded in space. For this particular perturbed KdV equation, it is found that there is only one possible solitary wave that has a form similar to the unperturbed soliton solution

Topics: QA
Publisher: Cambridge University Press
Year: 2000
OAI identifier: oai:wrap.warwick.ac.uk:837

Suggested articles

Citations

  1. (1991). Mathematica. doi
  2. (2000). Nonlinear Waves, Solitons and Chaos, 2nd edn. doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.