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 TMF, 1994, Volume 99, Number 2, Pages 322–328 (Mi tmf1593)

Solvability of the derivative nonlinear Schrödinger equation and the massive Thirring model

Jyh-Hao Lee

Abstract: Here we review some results of J. -H. Lee of the $N\times N$ Zakharov–Shabat system with a polynomial spectral parameter. We define a scattering transform following the set-up of Beals–Coifman [2]. In the $2 \times 2$ cases, we modify the Kaup–Newell and Kuznetsov–Mikhailov system to assure the normalization with respect to the spectral parameter. Then we are able to apply the technique of Zakharov–Shabat for the solitons of NLS to our cases. We obtain the long-time behavior of the equations which can be transformed into DNLS and MTM in laboratory coordinates respectively.

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English version:
Theoretical and Mathematical Physics, 1994, 99:2, 617–621

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Language: English

Citation: Jyh-Hao Lee, “Solvability of the derivative nonlinear Schrödinger equation and the massive Thirring model”, TMF, 99:2 (1994), 322–328; Theoret. and Math. Phys., 99:2 (1994), 617–621

Citation in format AMSBIB
\Bibitem{Lee94} \by Jyh-Hao~Lee \paper Solvability of the derivative nonlinear Schr\"odinger equation and the massive Thirring model \jour TMF \yr 1994 \vol 99 \issue 2 \pages 322--328 \mathnet{http://mi.mathnet.ru/tmf1593} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1308795} \zmath{https://zbmath.org/?q=an:0854.34080} \transl \jour Theoret. and Math. Phys. \yr 1994 \vol 99 \issue 2 \pages 617--621 \crossref{https://doi.org/10.1007/BF01016148} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1994PV07100020}