Quasiclassical integral equations and the asymptotic behavior of solutions to the Korteweg-de Vries equation for large times

zbMath0956.35114MaRDI QIDQ1380280

A. M. Budylin, Vladimir S. Buslaev

Publication date: 2 March 1998

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorCauchy problemSchrödinger equationKorteweg-de Vries equationspectral probleminverse problem method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (4)

Long-time asymptotics for the Korteweg-de Vries equation via nonlinear steepest descent ⋮ Long-time asymptotics of perturbed finite-gap Korteweg-de Vries solutions ⋮ On the mathematical work of Vladimir Savel′evich Buslaev ⋮ Quasi-classical asymptotics of solutions to the matrix factorization problem with quadratically oscillating off-diagonal elements

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