MARVAN, Michal and Maxim V. PAVLOV. A new class of solutions for the multi-component extended Harry Dym equation. Wave Motion. Amsterdam: Elsevier B.V., 2017, vol. 74, November, p. 151-158. ISSN 0165-2125. Available from:
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Basic information
Original name A new class of solutions for the multi-component extended Harry Dym equation
Authors MARVAN, Michal (203 Czech Republic, guarantor, belonging to the institution) and Maxim V. PAVLOV (643 Russian Federation).
Edition Wave Motion, Amsterdam, Elsevier B.V. 2017, 0165-2125.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Netherlands
Confidentiality degree is not subject to a state or trade secret
WWW Wave Motion
RIV identification code RIV/47813059:19610/17:A0000007
Organization unit Mathematical Institute in Opava
UT WoS 000412264800010
Keywords (in Czech) Harry Dym; invertibilní bodová transformace; vysokofrekvenční limita; multifázová řešení; Laxův pár
Keywords in English Harry Dym; Invertible point transformation; High-frequency limit; Multi-phase solutions; Lax pair
Tags International impact, Reviewed
Links GBP201/12/G028, research and development project.
Changed by Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 4/4/2018 13:29.
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.
Abstract (in Czech)
Mezi dvěma integrabilními systémy, multikomponentovou Harry Dymovou rovnicí a multikomponentovou rozšířenou Harry Dymovou rovnicí, konstruujeme bodovou transformaci, která zachovává třídu multifázových řešení. Jako důsledek získáváme nová, vlnám podobná řešení multikomponentové Harry Dymovy rovnice, zobecňující multifázová řešení. Konstrukce je snadno přenositelná na jiné integrabilní systémy s podobnými vlastnostmi.
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