Boundary value problems on the half-plane for the Ishimori equation that are compatible with the inverse scattering method

DOI10.1007/BF01017333zbMath0787.35107OpenAlexW2060763432MaRDI QIDQ1204568

Ismagil T. Habibullin

Publication date: 11 March 1993

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01017333

zbMATH Keywords

solitonsMiura transformationsdecaying solutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items

Integrable boundary conditions for (2+1)-dimensional models of mathematical physics, Asymptotic behavior of singular solitons and the inverse scattering method for solving boundary value problems

Cites Work

• Unnamed Item
• Integrable initial-boundary-value problems
• Inverse scattering transform method and soliton solutions for Davey- Stewartson II equation
• The Bäcklund transformation and integrable initial boundary value problems
• Multi-Vortex Solutions of a Two-Dimensional Nonlinear Wave Equation
• Inverse spectral transform for the Ishimori equation: I. Initial value problem
• Backlund transformations via gauge transformations in 2+1 dimensions