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The Konno-Asai-Kakuhata system revisited: Reciprocal transformation and connection to the Kaup-Newell system. (English. Russian original) Zbl 1149.37325
J. Math. Sci., New York 151, No. 4, 3182-3184 (2008); translation from Fundam. Prikl. Mat. 12, No. 7, 163-166 (2006).
Summary: We present a chain of changes of variables that transforms a new integrable system found by K. Konno, R. Asai and H. Kakuhata [J. Phys. Soc. Japan 74, No. 7, 1881–1882 (2005; Zbl 1088.37039)] into a system of three PDEs that consists of the well-known Kaup-Newell system and a scalar first-order linear PDE on the background of the latter.
MSC:
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
35Q58 Other completely integrable PDE (MSC2000)
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References:
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