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arXiv · 1806.01500

Six-dimensional heavenly equation. Dressing scheme and the hierarchy

L. V. Bogdanov·M. V. Pavlov
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Abstract

We consider six-dimensional heavenly equation as a reduction in the framework of general six-dimensional linearly degenerate dispersionless hierarchy. We characterise the reduction in terms of wave functions, introduce generating relation, Lax-Sato equations and develop the dressing scheme for the reduced hierarchy. Using the dressing scheme, we construct a class of solutions for six-dimensional heavenly equation in terms of implicit functions.

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L. V. Bogdanov, M. V. Pavlov. 2018-06-05. Six-dimensional heavenly equation. Dressing scheme and the hierarchy. https://doi.org/10.1016/j.physleta.2018.09.037

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