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arXiv · 1603.00238

Linearly degenerate hierarchies of quasiclassical SDYM type

L. V. Bogdanov·M. V. Pavlov
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Abstract

We demonstrate that SDYM equations for the Lie algebra of one-dimensional vector fields represent a natural reduction in the framework of general linearly degenerate dispersionless hierarchy. We define the reduction in terms of wave functions, introduce generating relation, Lax-Sato equations and the dressing scheme for the reduced hierarchy. Multidimensional case is also discussed.

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L. V. Bogdanov, M. V. Pavlov. 2016-03-15. Linearly degenerate hierarchies of quasiclassical SDYM type. https://doi.org/10.1063/1.5004258

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