Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-08T02:52:26.435Z Has data issue: false hasContentIssue false
  • English
  • Français

A solitary-wave solution to a perturbed KdV equation

Published online by Cambridge University Press:  29 May 2001

M. A. ALLEN  and
G. ROWLANDS
M. A. ALLEN
Affiliation:
Physics Department, Mahidol University, Rama 6 Road, Bangkok 10400, Thailand
G. ROWLANDS
Affiliation:
Department of Physics, University of Warwick, Coventry CV4 7AL, UK
Get access Rights & Permissions [Opens in a new window]

Extract

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.

Type
Research Article
Information
Journal of Plasma Physics , Volume 64 , Issue 4 , October 2000 , pp. 475 - 480
Copyright
© 2000 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)