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      • Record: found
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      Is Open Access

      Rarefaction Waves for the Toda Equation via Nonlinear Steepest Descent

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          Abstract

          We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Toda lattice with steplike initial data corresponding to a rarefaction wave.

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          Most cited references12

          • Record: found
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          The collisionless shock region for the long-time behavior of solutions of the KdV equation

          P. Deift, S Venakides, X. Zhou (1994)
          Article 0 comments Cited 53 times – based on 0 reviews     Review now
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            • Record: found
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            A discrete version of the inverse scattering problem

            K. M. Case, M. Kac (1973)
            Article 0 comments Cited 42 times – based on 0 reviews     Review now
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              The Toda rarefaction problem

              Thomas Kriecherbauer, Xin Zhou, Spyridon Kamvissis … (1996)
              Article 0 comments Cited 25 times – based on 0 reviews     Review now
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                Author and article information

                Journal
                Publication date Created: 2017-01-11
                Article
                ArXiV ID: 1701.02867
                SO-VID: 5e6469d3-460b-4621-a826-289f08ff9acd
                License:

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                ACM classes 37K40, 35Q53 (Primary), 37K45, 35Q15 (Secondary)
                Comments 22 pages
                Categories nlin.SI math-ph math.MP

                ScienceOpen disciplines: Mathematical physics,Mathematical & Computational physics,Nonlinear & Complex systems
                Data availability:
                ScienceOpen disciplines: Mathematical physics, Mathematical & Computational physics, Nonlinear & Complex systems

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