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 -