A modified Calogero-Bogoyavlenskii-Schiff equation with variable coefficients and its non-isospectral Lax pair
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概要
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In this paper, we present a modified version with variable coefficients of the $(2+1)$ dimensional Korteweg-de Vries, or \textit{Calogero-Bogoyavlenskii-Schiff} equation, derived by applying the Painlevé test. Its Lax pair with a non-isospectral condition in $(2+1)$ dimensions is also given. Moreover a transformation which links the form with variable coefficients to the canonical one is shown.
著者
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Kobayashi Tadashi
Graduate School Of Science And Technology Niigata University
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Toda Kouichi
Department of Mathematical Physics, Toyama Prefectural University
関連論文
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- A modified Calogero-Bogoyavlenskii-Schiff equation with variable coefficients and its non-isospectral Lax pair