Multi‐dimensional conservation laws and integrable systems Full article
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Studies in Applied Mathematics
ISSN: 0022-2526 |
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| Output data | Year: 2019, Volume: 143, Number: 4, Pages: 339-355 Pages count : 17 DOI: 10.1111/sapm.12280 | ||
| Tags | dispersionless limit of the Kadomtsev-Petviashvili equation; integrable system; multi-dimensional conservation laws; the Benney hydrodynamic chain; then Mikhalëv equation | ||
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Abstract:
In this paper, we introduce a new property of twodimensional integrable hydrodynamic chains—existence of
infinitely many local three-dimensional conservation laws
for pairs of integrable two-dimensional commuting flows.
Infinitely many local three-dimensional conservation laws
for the Benney commuting hydrodynamic chains are constructed. As a by-product, we established a new method
for computation of local conservation laws for threedimensional integrable systems. The Mikhalëv equation
and the dispersionless limit of the Kadomtsev-Petviashvili
equation are investigated. All known local and infinitely
many new quasilocal three-dimensional conservation laws
are presented. Also four-dimensional conservation laws
are considered for couples of three-dimensional integrable
quasilinear systems and for triplets of corresponding hydrodynamic chains.
Cite:
Makridin Z.V.
, Pavlov M.V.
Multi‐dimensional conservation laws and integrable systems
Studies in Applied Mathematics. 2019. V.143. N4. P.339-355. DOI: 10.1111/sapm.12280 WOS Scopus OpenAlex
Multi‐dimensional conservation laws and integrable systems
Studies in Applied Mathematics. 2019. V.143. N4. P.339-355. DOI: 10.1111/sapm.12280 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000483091700001 |
| Scopus: | 2-s2.0-85070856503 |
| OpenAlex: | W2607078461 |