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arXiv · 1705.01792

A new class of solutions for the multi-component extended Harry Dym equation

Michal Marvan·Maxim V. Pavlov
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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.

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Michal Marvan, Maxim V. Pavlov. 2017-05-04. A new class of solutions for the multi-component extended Harry Dym equation. https://arxiv.org/abs/1705.01792

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