Separation of variables for soliton equations via their binary constrained flows
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Publication:4498507
DOI10.1063/1.533105zbMath0955.37041arXivsolv-int/9911007OpenAlexW3102821641MaRDI QIDQ4498507
Publication date: 16 August 2000
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/solv-int/9911007
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)
Related Items (17)
Time-space integrable decompositions of nonlinear evolution equations ⋮ DECOMPOSITION AND STRAIGHTENING OUT OF THE DISCRETE KAUP–NEWELL FLOWS ⋮ Trigonal curves and algebro-geometric solutions to soliton hierarchies I ⋮ New Liouville integrable noncanonical Hamiltonian systems from the AKNS spectral problem ⋮ Bäcklund Transformations on Coadjoint Orbits of the Loop Algebra ~gl(r) ⋮ Adjoint Symmetry Constraints Leading to Binary Nonlinearization ⋮ Separable Hamiltonian equations on Riemann manifolds and related integrable hydrodynamic systems. ⋮ Invariant subspaces and exact solutions of a class of dispersive evolution equations ⋮ Adjoint symmetry constraints of the vector KN equations and their integrable coupling system ⋮ Binary symmetry constraints of N-wave interaction equations in 1+1 and 2+1 dimensions ⋮ Frobenius integrable decompositions for ninth-order partial differential equations of specific polynomial type ⋮ FROBENIUS INTEGRABLE DECOMPOSITIONS FOR TWO CLASSES OF NONLINEAR EVOLUTION EQUATIONS WITH VARIABLE COEFFICIENTS ⋮ ADJOINT SYMMETRY CONSTRAINTS AND INTEGRABLE COUPLING SYSTEM OF MULTICOMPONENT KN EQUATIONS ⋮ Finite‐Dimensional Integrable Hamiltonian Systems Related to the Nonlinear Schrödinger Equation ⋮ An extended noncommutative KP hierarchy ⋮ Binary constrained flows and separation of variables for soliton equations ⋮ Liouville integrable \(N\)-Hamiltonian structures, involutive solutions and separation of variables associated with Kaup-Newell hierarchy.
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