Parametrically controlling solitary wave dynamics in modified Kortweg-de Vries equation

Details Parametrically controlling solitary wave dynamics in modified Kortweg-de Vries equation Parametrically controlling solitary wave dynamics in modified Kortweg-de Vries equation

2005-12-08

arxiv.org/abs/nlin/0512018v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

4 pages, 5 eps figures

Scientific paper

10.1088/0305-4470/39/20/L08

We demonstrate the control of solitary wave dynamics of modified Kortweg-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 nonlinear Schr\"{o}dinger equation, the soliton amplitude and widths are time independent.

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