On the Solution to the Inverse Problem for the Toda Chain

DOI10.1137/S0036139996300903zbMath0922.35165OpenAlexW1993474443MaRDI QIDQ4237237

Javier Villarroel

Publication date: 31 March 1999

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139996300903

zbMATH Keywords

inverse problemsLax pairintegrable equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Inverse problems for PDEs (35R30) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (3)

Nondegeneracy of the traveling lump solution to the 2 + 1 Toda lattice ⋮ The second Painlevé equation, a related nonautonomous semidiscrete equation, and a limit to the first Painlevé equation: scalar and matrix cases ⋮ Mixed lump-soliton solutions to the two-dimensional Toda lattice equation via symbolic computation

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