SERGYEYEV, Artur. A simple construction of recursion operators for multidimensional dispersionless integrable systems. Journal of Mathematical Analysis and Applications. San Diego (USA): Academic Press Inc. Elsevier Science, 2017, vol. 454, No 2, p. 468-480. ISSN 0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2017.04.050. |
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@article{29849, author = {Sergyeyev, Artur}, article_location = {San Diego (USA)}, article_number = {2}, doi = {http://dx.doi.org/10.1016/j.jmaa.2017.04.050}, keywords = {Integrable systems; Recursion operators; Lax pairs; Symmetries; Cosymmetries}, language = {eng}, issn = {0022-247X}, journal = {Journal of Mathematical Analysis and Applications}, title = {A simple construction of recursion operators for multidimensional dispersionless integrable systems}, url = {https://www.sciencedirect.com/science/article/pii/S0022247X17304134}, volume = {454}, year = {2017} }
TY - JOUR ID - 29849 AU - Sergyeyev, Artur PY - 2017 TI - A simple construction of recursion operators for multidimensional dispersionless integrable systems JF - Journal of Mathematical Analysis and Applications VL - 454 IS - 2 SP - 468-480 EP - 468-480 PB - Academic Press Inc. Elsevier Science SN - 0022247X KW - Integrable systems KW - Recursion operators KW - Lax pairs KW - Symmetries KW - Cosymmetries UR - https://www.sciencedirect.com/science/article/pii/S0022247X17304134 L2 - https://www.sciencedirect.com/science/article/pii/S0022247X17304134 N2 - We present a simple novel construction of recursion operators for integrable multidimensional dispersionless systems that admit a Lax pair whose operators are linear in the spectral parameter and do not involve the derivatives with respect to the latter. New examples of recursion operators obtained using our technique include inter alia those for the general heavenly equation, which describes a class of anti-self-dual solutions of the vacuum Einstein equations, and a six-dimensional equation resulting from a system of Ferapontov and Khusnutdinova. ER -
SERGYEYEV, Artur. A simple construction of recursion operators for multidimensional dispersionless integrable systems. \textit{Journal of Mathematical Analysis and Applications}. San Diego (USA): Academic Press Inc. Elsevier Science, 2017, vol.~454, No~2, p.~468-480. ISSN~0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2017.04.050.
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