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A new class of solutions for the multi-component extended Harry Dym equation. / Marvan, Michal; Pavlov, Maxim V.

In: Wave Motion, Vol. 74, 01.11.2017, p. 151-158.

Research output: Contribution to journal › Article › peer-review

Harvard

Marvan, M & Pavlov, MV 2017, 'A new class of solutions for the multi-component extended Harry Dym equation', Wave Motion, vol. 74, pp. 151-158. https://doi.org/10.1016/j.wavemoti.2017.07.007

APA

Marvan, M., & Pavlov, M. V. (2017). A new class of solutions for the multi-component extended Harry Dym equation. Wave Motion, 74, 151-158. https://doi.org/10.1016/j.wavemoti.2017.07.007

Vancouver

Marvan M, Pavlov MV. A new class of solutions for the multi-component extended Harry Dym equation. Wave Motion. 2017 Nov 1;74:151-158. doi: 10.1016/j.wavemoti.2017.07.007

Author

Marvan, Michal ; Pavlov, Maxim V. / A new class of solutions for the multi-component extended Harry Dym equation. In: Wave Motion. 2017 ; Vol. 74. pp. 151-158.

BibTeX

@article{df9721dd58014d9a934fc72f49100782,
title = "A new class of solutions for the multi-component extended Harry Dym equation",
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.",
keywords = "Harry Dym, High-frequency limit, Invertible point transformation, Lax pair, Multi-phase solutions, MULTI-HAMILTONIAN STRUCTURES",
author = "Michal Marvan and Pavlov, {Maxim V.}",
note = "Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",
year = "2017",
month = nov,
day = "1",
doi = "10.1016/j.wavemoti.2017.07.007",
language = "English",
volume = "74",
pages = "151--158",
journal = "Wave Motion",
issn = "0165-2125",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - A new class of solutions for the multi-component extended Harry Dym equation

AU - Marvan, Michal

AU - Pavlov, Maxim V.

N1 - Publisher Copyright: © 2017 Elsevier B.V.

PY - 2017/11/1

Y1 - 2017/11/1

N2 - 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.

AB - 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.

KW - Harry Dym

KW - High-frequency limit

KW - Invertible point transformation

KW - Lax pair

KW - Multi-phase solutions

KW - MULTI-HAMILTONIAN STRUCTURES

UR - http://www.scopus.com/inward/record.url?scp=85026516443&partnerID=8YFLogxK

U2 - 10.1016/j.wavemoti.2017.07.007

DO - 10.1016/j.wavemoti.2017.07.007

M3 - Article

AN - SCOPUS:85026516443

VL - 74

SP - 151

EP - 158

JO - Wave Motion

JF - Wave Motion

SN - 0165-2125

ER -

ID: 9079806