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

Research paper by Michal Marvan, Maxim V. Pavlov

Indexed on: 04 May '17Published on: 04 May '17Published in: arXiv - Nonlinear Sciences - Exactly Solvable and Integrable Systems



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.