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The conservation of the Hamiltonian structures in the deformations of the Whitham systems
Hamiltonian structures Whitham systems deformations
2010/4/7
We consider the construction of the deformed Whitham system for the KdV-equation in the one-phase case and investigate the conservation of the Hamiltonian properties in this situation. It is shown the...
Infinite-Hamiltonian Structures of the Riemann Equation
Integrability multi-Hamiltonian structures Riemann equation
2010/4/9
We give two distinct infinite-Hamiltonian representations for the Riemann equation. One with first order Hamiltonian operators and another with third order-first order Hamiltonian operators. Both repr...