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The parametrically extended Kardar–Parisi–Zhang equation, its dark-type generalization, and integrability
Authors:
- Anatolij K. Prykarpatski,
- Petro Ya. Pukach,
- Myroslava I. Kopych
Abstract
A physical problem of existence of conservation laws for a parametrically dependent Kardar–Parisi–Zhang equation, describing a spin glass growth dynamics, was analyzed within the gradient-holonomic- and optimal-control-based algorithms. The finitely parametric functional extensions of the Kardar–Parisi–Zhang equation and related conservation laws are constructed. A relationship of the Kardar–Parisi–Zhang equation to a so-called dark -type class of integrable dynamical systems on functional manifolds with hidden symmetries is stated.
- Record ID
- CUT983529ba7353476ba6db924b46caabc8
- Publication categories
- ; ;
- Author
- Pages
- 233-254
- Other elements of collation
- Bibliografia (liczba pozycji) - 24; Oznaczenie streszczenia - Abstr.
- Substantive notes
- In memoriam of outstanding Polish mathematical physicist Anatol Odzijewicz (⋆ 6.10.1947 – †18.04.2022)
- Book
- Kielanowski Piotr, Piotr Kielanowski Dobrogowska Alina, Alina Dobrogowska Goldin Gerald A. Gerald A. Goldin [et al.] (eds.): Geometric Methods in Physics XXXIX : workshop, Białystok, Poland, 2022, Trends in Mathematics, 2023, Cham, Springer, Birkhäuser, ISBN 978-3-031-30284-8 (eBook)
- Keywords in English
- Kardar-Parisi-Equation, integrability, optimal control problem, spectral problem, conservation laws, thermodynamic stability, spin glass growth model
- ASJC Classification
- DOI
- DOI:10.1007/978-3-031-30284-8_21 Opening in a new tab
- URL
- https://link.springer.com/chapter/10.1007/978-3-031-30284-8_21 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 20
- Score source
- publisherList
- Score
- Publication indicators
- Additional fields
- Indeksowana w: Scopus, CORE
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT983529ba7353476ba6db924b46caabc8/
- URN
urn:pkr-prod:CUT983529ba7353476ba6db924b46caabc8
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