LETTER TO THE EDITOR: Parametrically controlling solitary wave dynamics in the modified Korteweg-de Vries equation
Abstract
We demonstrate the control of solitary wave dynamics of the modified Korteweg-de Vries (MKdV) equation through the temporal variations of the distributed coefficients. This is explicated through exact cnoidal wave and localized soliton solutions of the MKdV equation with variable coefficients. The solitons can be accelerated and their propagation can be manipulated by suitable variations of the above parameters. In sharp contrast with the nonlinear Schrödinger equation, the soliton amplitude and widths are time independent.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- May 2006
- DOI:
- 10.1088/0305-4470/39/20/L08
- arXiv:
- arXiv:nlin/0512018
- Bibcode:
- 2006JPhA...39L.343P
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- 4 pages, 5 eps figures