Abstract:
The direct scattering problem is considered for a linear system whose condition of
integrability is the supersymmetric sine-Gordon equation. The properties of the Jost
solutions and the scattering data are studied and expressions are obtained for an
infinite number of boson and fermion integrals of the motion in terms of the fields and the scattering data. Factorization of soliton scattering is proved.
Citation:
P. P. Kulish, S. A. Tsyplyaev, “Supersymmetric cosΦ2 model and the inverse scattering technique”, TMF, 46:2 (1981), 172–186; Theoret. and Math. Phys., 46:2 (1981), 114–124
\Bibitem{KulTsy81}
\by P.~P.~Kulish, S.~A.~Tsyplyaev
\paper Supersymmetric~$\cos\Phi_2$ model and the inverse scattering technique
\jour TMF
\yr 1981
\vol 46
\issue 2
\pages 172--186
\mathnet{http://mi.mathnet.ru/tmf2312}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=612953}
\transl
\jour Theoret. and Math. Phys.
\yr 1981
\vol 46
\issue 2
\pages 114--124
\crossref{https://doi.org/10.1007/BF01030845}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981NE30200003}
Linking options:
https://www.mathnet.ru/eng/tmf2312
https://www.mathnet.ru/eng/tmf/v46/i2/p172
This publication is cited in the following 10 articles:
Kitanine N. Nepomechie R.I. Reshetikhin N., “Quantum Integrability and Quantum Groups: a Special Issue in Memory of Petr P Kulish”, J. Phys. A-Math. Theor., 51:11 (2018), 110201
“Osnovnye nauchnye trudy Petra Petrovicha Kulisha”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 23, Zap. nauchn. sem. POMI, 433, POMI, SPb., 2015, 8–19
Shibani Sen, A. Roy Chowdhury, “Representation of supercharges over the scattering data for super-sine-Gordon system”, Int J Theor Phys, 27:6 (1988), 667
A. P. Isaev, “Fermionic string model in spaces of Lie groups”, Theoret. and Math. Phys., 71:3 (1987), 616–626
Soumitra Sengupta, Parthasarathi Majumdar, “Conservation laws in the supersymmetric sine-Gordon model”, Phys. Rev. D, 33:10 (1986), 3138
P. P. Kulish, S. A. Tsyplyaev, “Complete integrability of the supersymmetric model (cos ?)2”, J Math Sci, 34:5 (1986), 1972
C. Devchand, “An infinite number of continuity equations and hidden symmetries in supersymmetric gauge theories”, Nuclear Physics B, 238:2 (1984), 333
E. Napolitano, S. Sciuto, “The N = 2 supersymmetric generalization of the complex sine-gordon model”, Physics Letters B, 113:1 (1982), 43
P. P. Kulish, E. K. Sklyanin, Lecture Notes in Physics, 151, Integrable Quantum Field Theories, 1982, 61
Citation in format AMSBIB
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