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Integrable equations on the half-infinite line.

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Publication:812272
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DOI10.1016/0960-0779(94)E0105-XzbMath1080.35531OpenAlexW2087383518MaRDI QIDQ812272

Alexander R. Its, Athanassios S. Fokas

Publication date: 16 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(94)e0105-x



Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55)


Related Items

Nonhomogeneous boundary value problems for the Korteweg-de Vries equation on a bounded domain ⋮ Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane ⋮ A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane ⋮ A necessary and sufficient condition for the solvability of the nonlinear Schrödinger equation on a finite interval ⋮ Pseudo-canonical systems with rational Weyl functions: Explicit formulas and applications



Cites Work

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  • The Korteweg-de Vries equation in a quarter plane, continuous dependence results
  • Soliton generation for initial-boundary-value problems
  • The Riemann–Hilbert Problem and Inverse Scattering
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