1996•Journal of Physics A Mathematical and GeneralRequires access

The reductions of the Darboux transformation and some solutions of the soliton equations

Yishen Li

Open publisher page 30 citations

Abstract

In this paper, we introduce a new technique into the old topic of Darboux transformations. In doing so, new solutions corresponding to the KP equation and a localized soliton solution of the DSIII equation are found explicitly.

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What this paper is about

In this paper, we introduce a new technique into the old topic of Darboux transformations. In doing so, new solutions corresponding to the KP equation and a localized soliton solution of the DSIII equation are found explicitly.

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OpenAlex reports 30 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, we introduce a new technique into the old topic of Darboux transformations. In doing so, new solutions corresponding to the KP equation and a localized soliton solution of the DSIII equation are found explicitly.

Key concepts: Transformation (genetics), Soliton, Mathematical physics, Darboux integral, Mathematics, Applied mathematics, Physics, Chemistry

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