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A new hierarchy of integrable differential-difference equations and Darboux transformation. (English) Zbl 0931.35190


MSC:

35R10 Partial functional-differential equations
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
37K35 Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems
35Q58 Other completely integrable PDE (MSC2000)
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