Abstract
In this paper we present some results on the Whitham equations for the Toda lattice. In particular we show how one can regularize solutions with step initial data by choosing an appropriate Riemann surface on which the equations are defined, and we compare these results with the standard results for the KdV equation.
1Supported in part by NSF Grant DMS-90-02136 and NSF PYI Grant DMS-9157556.
2Supported in part by the NSF Grant DMS-9109041.
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Bloch, A.M., Kodama, Y. (1994). The Whitham Equation and Shocks in the Toda Lattice. In: Ercolani, N.M., Gabitov, I.R., Levermore, C.D., Serre, D. (eds) Singular Limits of Dispersive Waves. NATO ASI Series, vol 320. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2474-8_1
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