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Integrable Rosochatius deformations of the restricted soliton flows (Q3544489)

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Language	Label	Description	Also known as
English	Integrable Rosochatius deformations of the restricted soliton flows	scientific article

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scholarly article

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Integrable Rosochatius deformations of the restricted soliton flows (English)

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Journal of Mathematical Physics

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publication date

8 December 2008

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1063/1.2799263

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Integrability of One Particle in a Perturbed Central Quartic Potential

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On the integrability of stationary and restricted flows of the KdV hierarchy

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The Gauss-Knörrer map for the Rosochatius dynamical system

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A geometric approach to the separability of the Neumann-Rosochatius system

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Darboux coordinates and Liouville-Arnold integration in loop algebras

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Classical and quantum integrable systems in \(\widetilde{\mathfrak gl}(2)^{+*}\) and separation of variables

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Spinning strings in \(\text{AdS}_5\times S^5\) and integrable systems

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A NOTE ON SPIN CHAIN/STRING DUALITY

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Neumann and Neumann-Rosochatius integrable systems from membranes on \(\mathrm{AdS}_4\times S^7\)

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Quasi-periodic solutions of the integrable dynamical systems related to Hill's equation

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Quasi–periodic and periodic solutions for coupled nonlinear Schrödinger equations of Manakov type

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A nonconfocal generator of involutive systems and three associated soliton hierarchies

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Restricted flows of soliton hierarchies: coupled KdV and Harry Dym case

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The deduction of the Lax representation for constrained flows from the adjoint representation

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Classical Poisson structures and<b><i>r</i></b>-matrices from constrained flows

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New Classical and Quantum Integrable Systems Related to the MKdV Integrable Hierarchy

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On the relationship between classical Gaudin models and BC-type Gaudin models

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A nonconfocal involutive system and constrained flows associated with the MKdV− equation

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Finite-band solutions of the Dirac soliton equation through a reduction technique

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On the relation of the stationary Toda equation and the symplectic maps

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The finite-band solution of the Jaulent–Miodek equation

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Relation between the Kadometsev–Petviashvili equation and the confocal involutive system

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Separation of variables in the BC-type Gaudin magnet

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Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman

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r-Matrix for the Restricted KdV Flows with the Neumann Constraints

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Isospectral Hamiltonian flows in finite and infinite dimensions. I: Generalized Moser systems and moment maps into loop algebras

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Dynamical \(r\)-matrices for the constrained Harry-Dym flows

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The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. II

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Identifiers

zbMATH Open document ID

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10.1063/1.2799263

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Mathematics Subject Classification ID

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zbMATH DE Number

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Mathematics(1 entry)

mardi Publication:3544489

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