Spectral transform and solitons for the three-wave coupling model with nontrivial boundary conditions
DOI10.1063/1.532232zbMath0883.58010OpenAlexW2070020758MaRDI QIDQ4351639
Publication date: 28 August 1997
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.532232
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Inverse scattering problems in quantum theory (81U40) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51)
Cites Work
- Evolution equations, singular dispersion relations, and moving eigenvalues
- Non-self-adjoint Zakharov–Shabat operator with a potential of the finite asymptotic values. I. Direct spectral and scattering problems
- Nonlinear resonant scattering and plasma instability: an integrable model
- Nonlinear systems related to an arbitrary space–time dependence of the spectral transform
- Bright and dark soliton solutions to coupled nonlinear Schrodinger equations
- Solution of three waves interaction type models with nontrivial asymptotic and boundary conditions
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