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Gerjikov-Ivanov ̵Darboux׃Q͹ӽ
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ע⣺ՓڡJOURNAL OF PHYSICS A: MATHEMATICAL AND GENERAL2000 33 6925C6933l
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Gerjikov-Ivanov Darboux׃Qӽ

Darboux transformation and soliton-like solutions for the GerdjikovCIvanov equation

Engui Fan
JOURNAL OF PHYSICS A: MATHEMATICAL AND GENERAL. 33 (2000) 6925C6933.

Institute of Mathematics, Fudan University, Shanghai 200433, PR China

Received 27 April 2000

Abstract. An explicit N -fold Darboux transformation with multiparameters for a kind of coupled derivative nonlinear Schr odinger equation is constructed with the help of a gauge transformation of a spectral problem. As a reduction, a Darboux transformation of the GerdjikovCIvanov equation is obtained. Furthermore, the explicit soliton-like solutions of the GerdjikovCIvanov equation are given by applying its Darboux transformation.

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