J
2019
Integrable dispersive chains and their multi-phase solutions
MARVAN, Michal and Maxim V. PAVLOV
Basic information
Original name
Integrable dispersive chains and their multi-phase solutions
Authors
MARVAN, Michal (203 Czech Republic, belonging to the institution) and Maxim V. PAVLOV (643 Russian Federation)
Edition
Letters in Mathematical Physics, Dordrecht (Netherlands), Springer Netherlands, 2019, 0377-9017
Other information
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
Netherlands
Confidentiality degree
není předmětem státního či obchodního tajemství
RIV identification code
RIV/47813059:19610/19:A0000047
Organization unit
Mathematical Institute in Opava
Keywords in English
Integrable dispersive chains; Three-dimensional quasilinear systems of first order; Multi-phase solutions
Tags
International impact, Reviewed
Links
GBP201/12/G028, research and development project.
V originále
Earlier the theory of finite-gap integration was successfully applied to finite-component systems only. In this paper, we consider a first example of infinitely many component integrable systems. We construct multi-phase solutions for integrable dispersive chains associated with the three-dimensional linearly degenerate Mikhalev system of the first order. These solutions are parameterised by infinitely many arbitrary constants. As a by-product, we describe multi-phase solutions for finite-component dispersive reductions in these integrable dispersive chains.
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