Dispersive Regularization of the Whitham Equation for the Toda Lattice
- 1 August 1992
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Applied Mathematics
- Vol. 52 (4) , 909-928
- https://doi.org/10.1137/0152052
Abstract
In this paper the averaged (Whitham) equations for the slow modulations of multi-phase wavetrains for the Toda lattice are studied. Our main result is showing how the solution with step initial conditions may be regularized by choosing an appropriate Riemann surface on which the Whitham equation is defined.Keywords
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