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@article{29847,
author = {Marvan, Michal and Pavlov, Maxim V.},
article_location = {Amsterdam},
article_number = {November},
doi = {http://dx.doi.org/10.1016/j.wavemoti.2017.07.007},
keywords = {Harry Dym; Invertible point transformation; High-frequency limit; Multi-phase solutions; Lax pair},
language = {eng},
issn = {0165-2125},
journal = {Wave Motion},
title = {A new class of solutions for the multi-component extended Harry Dym equation},
url = {https://www.sciencedirect.com/science/article/pii/S016521251730094X},
volume = {74},
year = {2017}
}
TY - JOUR
ID - 29847
AU - Marvan, Michal - Pavlov, Maxim V.
PY - 2017
TI - A new class of solutions for the multi-component extended Harry Dym equation
JF - Wave Motion
VL - 74
IS - November
SP - 151-158
EP - 151-158
PB - Elsevier B.V.
SN - 01652125
KW - Harry Dym
KW - Invertible point transformation
KW - High-frequency limit
KW - Multi-phase solutions
KW - Lax pair
UR - https://www.sciencedirect.com/science/article/pii/S016521251730094X
L2 - https://www.sciencedirect.com/science/article/pii/S016521251730094X
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.
ER -
MARVAN, Michal a Maxim V. PAVLOV. A new class of solutions for the multi-component extended Harry Dym equation. \textit{Wave Motion}. Amsterdam: Elsevier B.V., roč.~74, November, s.~151-158. ISSN~0165-2125. doi:10.1016/j.wavemoti.2017.07.007. 2017.
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