Asymptotic expansion of the solution to the Cauchy problem for the Volterra chain with a step-like initial condition

DOI10.1007/BF02634054zbMath0978.35502MaRDI QIDQ1294866

V. L. Vereshchagin

Publication date: 6 February 2002

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (4)

Asymptotic periodic solution of the Cauchy problem for the Langmuir lattice ⋮ The Cauchy problem for a semi-infinite Volterra chain with an asymptotically periodic initial condition ⋮ Conservation laws for Volterra chain with initial step-like condition ⋮ The \(t\to\infty\) asymptotic regime of the Cauchy problem solution for the Toda chain with threshold-type initial data

Cites Work

• Korteweg-de Vries equation with finite-gap boundary conditions, and the Whitham deformations of Riemann surfaces
• Shock waves in one-dimensional models with cubic nonlinearity
• Whitham equations for one-phase solutions of Volterra lattice

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