On the method of inverse scattering problem and Bäcklund transformations for supersymmetric equations
作者： M. Chaichian , P.P. Kulish
DOI: 10.1016/0370-2693(78)90473-2
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摘要: Supersymmetric Liouville and sine-Gordon equations are studied. We write down for these models the system of linear equations for which the method of inverse scattering should be applicable. Expressions for an infinite set of conserved currents are explicitly given. Supersymmetric Bäcklund transformations and generalized conservation laws are constructed.
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M. J. Ablowitz, D. J. Kaup, A. C. Newell, H. Segur, Method for Solving the Sine-Gordon Equation Physical Review Letters. ,vol. 30, pp. 1262- 1264 ,(1973) , 10.1103/PHYSREVLETT.30.1262
V. E. Korepin, L. D. Faddeev, Quantization of Solitons Theoretical and Mathematical Physics. ,vol. 25, pp. 1039- 1049 ,(1975) , 10.1007/BF01028946
V. A. Andreev, Application of the inverse scattering method to the equation σ xt =e σ Theoretical and Mathematical Physics. ,vol. 29, pp. 1027- 1032 ,(1976) , 10.1007/BF01108506
L.D. Faddeev, V.E. Korepin, Quantum theory of solitons Physics Reports. ,vol. 42, pp. 1- 87 ,(1978) , 10.1016/0370-1573(78)90058-3
P. P. Kulish, E. R. Nisimov, Anomalies of quantum currents in exactly solvable models Theoretical and Mathematical Physics. ,vol. 29, pp. 992- 998 ,(1976) , 10.1007/BF01108501
J. Hruby, On the supersymmetric sine-Gordon model and a two-dimentional bag Nuclear Physics. ,vol. 131, pp. 275- 284 ,(1977) , 10.1016/0550-3213(77)90373-X
P. Di Vecchia, S. Ferrara, Classical Solutions in Two-Dimensional Supersymmetric Field Theories Nuclear Physics. ,vol. 130, pp. 93- 104 ,(1977) , 10.1016/0550-3213(77)90394-7
L. A. Takhtadzhyan, L. D. Faddeev, Essentially nonlinear one-dimensional model of classical field theory Theoretical and Mathematical Physics. ,vol. 21, pp. 1046- 1057 ,(1974) , 10.1007/BF01035551
G. L. Lamb, Bäcklund transformations for certain nonlinear evolution equations Journal of Mathematical Physics. ,vol. 15, pp. 2157- 2165 ,(1974) , 10.1063/1.1666595
H. C. Morris, A generalized prolongation structure and the Bäcklund transformation of the anticommuting massive Thirring model Journal of Mathematical Physics. ,vol. 19, pp. 85- 87 ,(1978) , 10.1063/1.523518