On the Whitham Equations for the Defocusing Complex Modified KdV Equation
نویسندگان
چکیده
منابع مشابه
On the Whitham Equations for the Defocusing Complex Modified KdV Equation
We study the Whitham equations for the defocusing complex modified KdV (mKdV) equation. These Whitham equations are quasilinear hyperbolic equations and they describe the averaged dynamics of the rapid oscillations which appear in the solution of the mKdV equation when the dispersive parameter is small. The oscillations are referred to as dispersive shocks. The Whitham equations for the mKdV eq...
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The behavior of solutions of the finite-genus Whitham equations for the weak dispersion limit of the defocusing nonlinear Schrödinger equation is investigated analytically and numerically for piecewiseconstant initial data. In particular, the dynamics of constant-amplitude initial conditions with one or more frequency jumps (i.e., piecewise linear phase) are considered. It is shown analytically...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2009
ISSN: 0036-1410,1095-7154
DOI: 10.1137/070705131