BLASZAK, Maciej and Artur SERGYEYEV. Dispersionless (3+1)-dimensional integrable hierarchies. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. London: Royal Society, 2017, vol. 473, No 2201, p. „20160857-1“-„20160857-16“, 16 pp. ISSN 1364-5021. Available from: https://dx.doi.org/10.1098/rspa.2016.0857. |
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@article{28070, author = {Blaszak, Maciej and Sergyeyev, Artur}, article_location = {London}, article_number = {2201}, doi = {http://dx.doi.org/10.1098/rspa.2016.0857}, keywords = {dispersionless systems; (3+1)-dimensional integrable systems; Lax pairs; R-matrix; contact bracket}, language = {eng}, issn = {1364-5021}, journal = {Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences}, title = {Dispersionless (3+1)-dimensional integrable hierarchies}, url = {http://rspa.royalsocietypublishing.org/content/473/2201/20160857}, volume = {473}, year = {2017} }
TY - JOUR ID - 28070 AU - Blaszak, Maciej - Sergyeyev, Artur PY - 2017 TI - Dispersionless (3+1)-dimensional integrable hierarchies JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences VL - 473 IS - 2201 SP - „20160857-1“-„20160857-16“ EP - „20160857-1“-„20160857-16“ PB - Royal Society SN - 1364-5021 KW - dispersionless systems KW - (3+1)-dimensional integrable systems KW - Lax pairs KW - R-matrix KW - contact bracket UR - http://rspa.royalsocietypublishing.org/content/473/2201/20160857 L2 - http://rspa.royalsocietypublishing.org/content/473/2201/20160857 N2 - In this paper, we introduce a multi-dimensional version of the R-matrix approach to the construction of integrable hierarchies. Applying this method to the case of the Lie algebra of functions with respect to the contact bracket, we construct integrable hierarchies of (3 + 1)-dimensional dispersionless systems of the type recently introduced in Sergyeyev (2014 (http://arxiv.org/abs/1401.2122)). ER -
BLASZAK, Maciej and Artur SERGYEYEV. Dispersionless (3+1)-dimensional integrable hierarchies. \textit{Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences}. London: Royal Society, 2017, vol.~473, No~2201, p.~„20160857-1“-„20160857-16“, 16 pp. ISSN~1364-5021. Available from: https://dx.doi.org/10.1098/rspa.2016.0857.
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