Parametrically controlling solitary wave dynamics in the modified Korteweg-de Vries equation
Kallol PradhanDepartment of Physics, University of Wisconsin–Milwaukee, 1900 E Kenwood Blvd. Milwaukee, WI 53211, USAPrasanta K. PanigrahiPhysical Research Laboratory, Navrangpura, Ahmedabad-380 009, India
2006en
ABI
Abstract
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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