Integrable dispersive chains and their multi-phase solutions

@article{32781,
   author = {Marvan, Michal and Pavlov, Maxim V.},
   article_location = {Dordrecht (Netherlands)},
   article_number = {5},
   doi = {http://dx.doi.org/10.1007/s11005-018-1138-0},
   keywords = {Integrable dispersive chains; Three-dimensional quasilinear systems of first order; Multi-phase solutions},
   language = {eng},
   issn = {0377-9017},
   journal = {Letters in Mathematical Physics},
   title = {Integrable dispersive chains and their multi-phase solutions},
   url = {https://link.springer.com/article/10.1007%2Fs11005-018-1138-0},
   volume = {109},
   year = {2019}
}

TY  - JOUR
ID  - 32781
AU  - Marvan, Michal - Pavlov, Maxim V.
PY  - 2019
TI  - Integrable dispersive chains and their multi-phase solutions
JF  - Letters in Mathematical Physics
VL  - 109
IS  - 5
SP  - 1219-1245
EP  - 1219-1245
PB  - Springer Netherlands
SN  - 03779017
KW  - Integrable dispersive chains
KW  - Three-dimensional quasilinear systems of first order
KW  - Multi-phase solutions
UR  - https://link.springer.com/article/10.1007%2Fs11005-018-1138-0
L2  - https://link.springer.com/article/10.1007%2Fs11005-018-1138-0
N2  - 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.
ER  - 

MARVAN, Michal and Maxim V. PAVLOV. Integrable dispersive chains and their multi-phase solutions. \textit{Letters in Mathematical Physics}. Dordrecht (Netherlands): Springer Netherlands, vol.~109, No~5, p.~1219-1245. ISSN~0377-9017. doi:10.1007/s11005-018-1138-0. 2019.