Six-dimensional heavenly equation. Dressing scheme and the hierarchy
Exactly Solvable and Integrable Systems
2018-11-14 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1806.01500,
title = {Six-dimensional heavenly equation. Dressing scheme and the hierarchy},
author = {L. V. Bogdanov and M. V. Pavlov},
journal= {arXiv preprint arXiv:1806.01500},
year = {2018}
}
Comments
10 pages