Abstract
We have re-derived all the commutation relations among the scattering data for the quantum (1+1)-dimensional nonlinear schrödinger model, without using the R-matrix approach developed by the Leningrad school [1]. We hope that the approach presented here will be useful for (2+1)-dimensional models.
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We thank Prof. A.R. Its for informing us, after this work was done, about the paper of B. Davies and T.D. Kieu (Inverse Problems 2(1986) 141), where the expression (17) was proved.
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© 1993 Springer-Verlag Berlin Heidelberg
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Pang, G.D., Fokas, A.S. (1993). Calculation of All Commutation Relations Among Scattering Data Without Using the R-Matrix Approach. In: Fokas, A.S., Kaup, D.J., Newell, A.C., Zakharov, V.E. (eds) Nonlinear Processes in Physics. Springer Series in Nonlinear Dynamics . Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77769-1_25
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DOI: https://doi.org/10.1007/978-3-642-77769-1_25
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