Reductions of multicomponent mKdV equations on symmetric spaces of DIII-type.
Gerdjikov, Vladimir S., Kostov, Nikolay A. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Gerdjikov, Vladimir S., Kostov, Nikolay A. (2008)
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We introduce and study the linear symmetric systems associated with the modified Cherednik operators. We prove the well-posedness results for the Cauchy problem for these systems. Eventually we describe the finite propagation speed property of it.
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2000 Mathematics Subject Classification: Primary 47A48, Secondary 60G12. In this paper classes of K^r -operators are considered – the classes of bounded and unbounded operators A with equal domains of A and A*, finite dimensional imaginary parts and presented as a coupling of a dissipative operator and an antidissipative one with real absolutely continuous spectra and the class of unbounded dissipative K^r -operators A with different domains of A and A* and with real absolutely...