The \(t\to\infty\) asymptotic regime of the Cauchy problem solution for the Toda chain with threshold-type initial data

DOI10.1007/BF02557384zbMath0985.37080MaRDI QIDQ1567914

Agil K. Khanmamedov, Hidayat M. Huseynov

Publication date: 19 July 2000

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

zbMATH Keywords

asymptotic expansionscattering problemToda chain

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (4)

Whitham hierarchy in growth problems ⋮ The rapidly decreasing solution of the Cauchy problem for the Toda lattice ⋮ An application of the inverse scattering problem for the discrete Dirac operator ⋮ Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds

Cites Work

• Theory of nonlinear lattices
• Characterization of the scattering data of the Schrödinger and Dirac operators
• Asymptotic expansion of the solution to the Cauchy problem for the Volterra chain with a step-like initial condition
• On the Toda Lattice. II: Inverse-Scattering Solution

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