The Davey–Stewartson I equation on the quarter plane with homogeneous Dirichlet boundary conditions

DOI10.1063/1.1588744zbMath1062.37090arXivnlin/0412005OpenAlexW2076624356MaRDI QIDQ4833059

Athanassios S. Fokas

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0412005

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (2)

The Davey-Stewartson equation on the half-plane ⋮ Integrable boundary value problems for elliptic type Toda lattice in a disk

Cites Work

• Dromions and a boundary value problem for the Davey-Stewartson 1 equation
• The dressing method and nonlocal Riemann-Hilbert problems
• Integrable nonlinear evolution equations on the half-line
• A unified transform method for solving linear and certain nonlinear PDEs
• On three-dimensional packets of surface waves
• Generation of asymptotic solitons of the nonlinear Schrödinger equation by boundary data
• Lax equations scattering and KdV
• The Linearization of the Initial-Boundary Value Problem of the Nonlinear Schrödinger Equation
• Wave Instabilities

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