Titlebook: Singular Limits of Dispersive Waves; N. M. Ercolani,I. R. Gabitov,D. Serre Book 1994 Springer Science+Business Media New York 1994 asympto

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S. Yu. Dobrokhotoverstehen.Leicht verst?ndlich, nicht beweisvollst?ndig. Es wi.Dieses Buch ist eine Begleitlektüre zum ersten Jahr des Mathematikstudiums und darüber hinaus. Im Mittelpunkt stehen Motivation und Erl?uterung der zentralen Begriffsbildungen anhand von Beispielen und exemplarischen Resultaten. .Ausgehend

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Long-Time Asymptotics for the Autocorrelation Function of the Transverse Ising Chain at the Criticaensional lattice. As is well known, the Hamiltonain . can clearly be identified with the transverse Ising model at the critical transverse magnetic field ([LSM]). We will study the long-time behavior of the autocorrelation function .(.) of the first spin component.where . = 1/. is the inverse temperature.

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NATO Science Series B:http://image.papertrans.cn/s/image/867886.jpg

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https://doi.org/10.1007/978-1-4615-2474-8asymptotic analysis; differential equation; partial differential equation; wave; wave equation

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The Whitham Equation and Shocks in the Toda Lattice,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.

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Solving Dispersionless Lax Equations,Geogdzhaev’s method is used to derive the solution to the initial value problem of any dispersionless Lax equation. The particular case of the dispersionless Boussinesq equation is worked out in detail and possible generalisations are considered.

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Dispersionless Limit of Integrable Systems in 2 + 1 Dimensions,A general scheme for construction of dispersionless limits of 2 + 1 dimensional integrable systems was described first in the article [1]. Now we give its description in more details. Let us consider the following overdetermined system of two first—order nonlinear partial differential equations on a function x = .):