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

Michal Marvan, Maxim V. Pavlov

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)151-158
Number of pages8
JournalWave Motion
Volume74
DOIs
Publication statusPublished - 1 Nov 2017

Keywords

  • Harry Dym
  • High-frequency limit
  • Invertible point transformation
  • Lax pair
  • Multi-phase solutions
  • MULTI-HAMILTONIAN STRUCTURES

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