Abstract
There has been a great deal of interest recently (Krichever [3], Potemin [5] Kudashev and Sharapov [2]) in constructing solutions of the Whitham [9] averaged system of modulation equations through an implicit construction proposed by Tsarev [7] For a certain class of ramp-like initial data, Tian [6] has constructed the global solution of the Whitham equations which matches at the phase transition boundaries to the characteristic solution of the inviscid Burgers’ equation for the given initial data.
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References
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© 1994 Springer Science+Business Media New York
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Wright, O.C. (1994). Explicit Construction of The Lax-Levermore Minimizer for the KdV Zero Dispersion Limit. 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_12
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DOI: https://doi.org/10.1007/978-1-4615-2474-8_12
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