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GerjikovIvanov ̵Darboux׃Qӽ F ժҪV}Ҏ׃QͼsGerjikovIvanov
̵NDarboux׃QɴõGerjikovIvanov
̵Ćιӽpӽ Darboux transformation and solitonlike solutions for the GerdjikovCIvanov equation Engui
Fan 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 solitonlike solutions of the GerdjikovCIvanov equation are given by applying its Darboux transformation. 1g[ȫҪʹܛAbode Acrobat(ܛ^Ҋ,վṩd) 2dՓȫՈc(176KB) վ䛵ıߵՓģ 1The zero curvature representation for hierarchies of nonlinear evolution equations 2Extended tanhfunction method and its applications to nonlinear equations 3Soliton solutions for a generalized HirotaCSatsuma coupled KdV equation and a coupled MKdV equation 4Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method

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