On the integrability of three two-component bi-Hamiltonian systems

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Cites Work

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Bihamiltonian cohomologies and integrable hierarchies. I: A special case
Deformations of semisimple bihamiltonian structures of hydrodynamic type
Factorisation of energy dependent Schrödinger operators: Miura maps and modified systems
The Estabrook-Wahlquist method with examples of application
Deformations of bi-Hamiltonian structures of hydrodynamic type
Classification of integrable equations on quad-graphs. The consistency approach
Deformation of Hamiltonian operator and its classifications. I
Perturbative symmetry approach for differential-difference equations
Some super systems with local bi-Hamiltonian operators
Compatible Poisson brackets of hydrodynamic type
A Synthetical Two-Component Model with Peakon Solutions
Deformations of non-semisimple Poisson pencils of hydrodynamic type
On bi-Hamiltonian deformations of exact pencils of hydrodynamic type
The bi-Hamiltonian cohomology of a scalar Poisson pencil
The prolongation structures of quasi-polynomial flows
The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems
Schrödinger spectral problems with energy–dependent potentials as sources of nonlinear Hamiltonian evolution equations
Prolongation structures of nonlinear evolution equations
Prolongation structures of nonlinear evolution equations. II
Towards the Classification of Homogeneous Third-Order Hamiltonian Operators: Table 1.
Bi-Hamiltonian structures of KdV type
On Hamiltonian perturbations of hyperbolic systems of conservation laws I: Quasi‐Triviality of bi‐Hamiltonian perturbations

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