O. Hentosh, Y. Prykarpatsky, A. Balinsky, A. Prykarpatski
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The dispersionless completely integrable heavenly type Hamiltonian flows and their differential-geometric structure
There are reviewed modern investigations devoted to studying nonlinear dispersiveless heavenly type integrable evolutions systems on functional spaces within the modern differential-geometric and algebraic tools. Main accent is done on the loop diffeomorphism group vector fields on the complexified torus and the related Lie-algebraic structures, generating dispersionless heavenly type integrable systems.