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We introduce matrix coupled (local and nonlocal) dispersionless equations,construct wide classes of explicit multipole solutions, give explicitexpressions for the corresponding Darboux and wave matrix valued functions andconsider their asymptotics in some interesting cases. We consider the scalarcases of coupled, complex coupled and nonlocal dispersionless equations aswell.

GBDT and explicit solutions for the matrix coupled dispersionless equations (local and nonlocal cases)