Six-dimensional heavenly equation. Dressing scheme and the hierarchy

Publication date: Available online 2 October 2018Source: Physics Letters AAuthor(s): L.V. Bogdanov, M.V. PavlovAbstractWe 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.

Source: Physics Letters A - October 5, 2018 Category: Physics Source Type: research