TY - JOUR
T1 - On parametric generalizations of the Kardar-Parisi-Zhang equation and their integrability
AU - Prykarpatski, Anatolij K.
AU - Bovdi, Victor A.
AU - Vovk, Myroslava I.
AU - Pukach, Petro Ya
N1 - Publisher Copyright:
© Published under licence by IOP Publishing Ltd.
PY - 2023
Y1 - 2023
N2 - There are analyzed two physically reasonable generalizations of the Kardar-Parisi-Zhang equation describing the spin glasses growth models and possessing important from physical point of view properties. The first one proved to be a completely integrable Hamiltonian dynamical system with an infinite hierarchy of commuting to each other conservation laws, and the second one proved to be linearized modulo some nonlinear constraints, imposed on its solutions.
AB - There are analyzed two physically reasonable generalizations of the Kardar-Parisi-Zhang equation describing the spin glasses growth models and possessing important from physical point of view properties. The first one proved to be a completely integrable Hamiltonian dynamical system with an infinite hierarchy of commuting to each other conservation laws, and the second one proved to be linearized modulo some nonlinear constraints, imposed on its solutions.
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U2 - 10.1088/1742-6596/2667/1/012043
DO - 10.1088/1742-6596/2667/1/012043
M3 - Conference article
AN - SCOPUS:85181048017
SN - 1742-6588
VL - 2667
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012043
T2 - 12th International Symposium on Quantum Theory and Symmetries, QTS 2023
Y2 - 24 July 2023 through 28 July 2023
ER -