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

Language

English

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

References:

RIV identification code

RIV/47813059:19610/19:A0000047

Organization unit

Mathematical Institute in Opava

DOI

UT WoS

000466941800006

Keywords in English

Integrable dispersive chains; Three-dimensional quasilinear systems of first order; Multi-phase solutions

Tags

Tags

International impact, Reviewed

Links

GBP201/12/G028, research and development project.
Změněno: 20/4/2020 15:58, Mgr. Aleš Ryšavý

Abstract

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.