A new class of solutions for the multi-component extended Harry Dym equation
Exactly Solvable and Integrable Systems
2017-05-05 v1
Abstract
We construct a point transformation between two integrable systems, the multi-component Harry Dym equation and the multi-component extended Harry Dym equation, that does not preserve the class of multi-phase solutions. As a consequence we obtain a new type of wave-like solutions, generalising the~multi-phase solutions of the multi-component extended Harry Dym equation. Our construction is easily transferable to other integrable systems with analogous properties.
Keywords
Cite
@article{arxiv.1705.01792,
title = {A new class of solutions for the multi-component extended Harry Dym equation},
author = {Michal Marvan and Maxim V. Pavlov},
journal= {arXiv preprint arXiv:1705.01792},
year = {2017}
}