J 2017

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

MARVAN, Michal and Maxim V. PAVLOV

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

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

References:

Impact factor

Impact factor: 1.723

RIV identification code

RIV/47813059:19610/17:A0000007

Organization unit

Mathematical Institute in Opava

DOI

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: 4/4/2018 13:29, Mgr. Aleš Ryšavý

Abstract

ORIG CZ

V originále

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.