Integrable evolution equations in time-dependent domains

DOI10.1088/0266-5611/17/4/323zbMath0987.35151OpenAlexW1988447246MaRDI QIDQ2747534

Beatrice Pelloni, Athanassios S. Fokas

Publication date: 23 June 2002

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5cb45e4a8bd3aa0940b6b91037f247176d9e4dc8

zbMATH Keywords

compatibility conditionimplementationdefocusing nonlinear Schrödinger equationLax pair formulationdispersive linear evolution equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Software, source code, etc. for problems pertaining to dynamical systems and ergodic theory (37-04)

Related Items (6)

Generalized Dirichlet to Neumann map for moving initial-boundary value problems ⋮ The Fokas method for integrable evolution equations on a time-dependent interval ⋮ The spectral representation of two-point boundary-value problems for third-order linear evolution partial differential equations ⋮ An example where separation of variables fails ⋮ Boundary value problems for Boussinesq type systems ⋮ Problems on time-varying domains: formulation, dynamics, and challenges

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