Abstract:
The Poisson brackets (cot:mutation relations) of the local fieIds are calculated for
the model of the nonlinear Schrödinger equation on the basis of the postulated
Gel'fand–Levitan–Marchenko equations and the Poisson brackets (commutation
relations) of the scattering data. Some other models are also discussed.
\Bibitem{Kha85}
\by I.~M.~Khamitov
\paper Local fields in the inverse scattering method
\jour TMF
\yr 1985
\vol 62
\issue 3
\pages 323--334
\mathnet{http://mi.mathnet.ru/tmf4650}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=791201}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 62
\issue 3
\pages 217--224
\crossref{https://doi.org/10.1007/BF01018261}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985ASV1800001}
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https://www.mathnet.ru/eng/tmf4650
https://www.mathnet.ru/eng/tmf/v62/i3/p323
This publication is cited in the following 7 articles:
Zhang B., Fan E., “Riemann-Hilbert Approach For a Schrodinger-Type Equation With Nonzero Boundary Conditions”, Mod. Phys. Lett. B, 35:12 (2021), 2150208
Shuichi Murakami, “New integrable extension of the Hubbard chain with variable range hopping”, J. Phys. A: Math. Gen., 31:30 (1998), 6367
Shuichi Murakami, Frank Göhmann, “Algebraic solution of the Hubbard model on the infinite interval”, Nuclear Physics B, 512:3 (1998), 637
Kei Miki, “Creation/annihilation operators and form factors of the XXZ model”, Physics Letters A, 186:3 (1994), 217
I. M. Khamitov, “Canonical fields in the quantum sh-Gordon model”, J. Soviet Math., 59:5 (1992), 1123–1131
A. N. Kirillov, “T-invariance, CPT-invariance, and local commutativity for the quantum (cosh ?)2-model”, J Math Sci, 40:1 (1988), 6
I. M. Khamitov, “A constructive approach to the quantum (cosh ?)2 model. I. The method of the Gel'fand-Levitan-Marchenko equations”, J Math Sci, 40:1 (1988), 115
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