The Darboux system: Finite-rank constraints and Darboux transformations
DOI10.1063/1.532174zbMath0892.58036OpenAlexW2093570213MaRDI QIDQ4378335
Publication date: 27 July 1998
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://eprints.ucm.es/33069/1/guilguerrero07libre.pdf
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Cites Work
- Construction of higher-dimensional nonlinear integrable systems and of their solutions
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- The Hopf-Cole transformation and the KP equation
- Deformation of the dromion and solitoff solutions of the Davey-Stewartson I equation
- Darboux transformations for the Davey-Stewartson equations
- Solutions of the Davey-Stewartson II equation with arbitrary rational localization and nontrivial interaction
- Multidimensional quadrilateral lattices are integrable.
- Solutions of the nonlinear 3-wave equations in three spatial dimensions
- The lump solutions and the Bäcklund transformation for the three-dimensional three-wave resonant interaction
- The Dirac equation and integrable systems of KP type
- Darboux transformations for the nonlinear Schrödinger equations
- Finite-rank constraints on linear flows and the Davey-Stewartson equation
This page was built for publication: The Darboux system: Finite-rank constraints and Darboux transformations