Generalization of the Kaup-Newell Inverse Scattering Formulation and Darboux Transformation
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概要
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In this paper the Katrp-Newell (KN) inverse scattering forrntrlation are gener'alized, and anew Darboux transforrn?ttion is introduced f'or it, Sozne Darbottx covariant (1 8 l) dinaensionalsoliton eqtmations associated with the generalized TAN ['ormtulartion are derived systematically,which include not only tlae derixvative nornlinear Schr6dinger (DNLS), the rnodified KdV, tl'uesine-Gordon and the massive Thir'ring eqtrations btrt also sozne nexv nonlinear tirne evolutioneqtmations. lVIulti-soliton soltrtions of' the DNLS eqtratioru ?tre constrtrcted in the deterzninantform trsing the Darboux trans['ornxation, xvhicla incltnde SOIII(Ill new solutions, sucla as quasi-jceriodicsolutions and soliton solutions under the qtrasi-jceriodic bacl<grounds.
- 社団法人日本物理学会の論文
- 1999-02-15
著者
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Imai Kenji
Department Of Cardiology Nagoya University Graduate Of School Of Medicine
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Imai Kenji
Department of Applied Chemistry, Faculty of Engineering, Kanagawa University
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