Solitons and almost-intertwining matrices
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Publication:2774981
DOI10.1063/1.1379313zbMath1005.37036arXivmath-ph/0011011OpenAlexW3098619887MaRDI QIDQ2774981
Alex Kasman, Michael I. Gekhtman
Publication date: 26 February 2002
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0011011
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) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
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Cites Work
- Loop groups and equations of KdV type
- A new class of integrable systems and its relation to solitons
- Collisions of Calogero-Moser particles and an adelic Grassmannian (with an appendix by I. G. Macdonald)
- On the polynomial \(\tau\)-functions for the KP hierarchy and the bispectral property
- Quantum integrable models and discrete classical Hirota equations
- Reflectionless Schrödinger operators, the dynamics of zeros, and the solitonic Sato formula
- Bispectral KP solutions and linearization of Calogero-Moser particle systems
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
- Spectral difference equations satisfied by KP soliton wavefunctions
- Dressing procedure for solutions of non-linear equations and the method of operator identities
- Algèbres commutatives d'opérateurs aux q-différences et systèmes de Calogero—Moser