## To a transformation theory of two-dimensional integrable systems.(English)Zbl 0962.37509

Summary: We generalise to the two-dimensional case a list of integrable Toda type lattice equations. As a result, $$1+2$$ dimensional systems similar to the Davey-Stewartson coupled system are obtained together with explicit auto-Bäcklund transformations and 2D Miura type transformations.

### MSC:

 37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) 35Q58 Other completely integrable PDE (MSC2000)
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### References:

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