Gerjikov-Ivanov 方程的Darboux变换和孤子解 范恩贵 摘要:利用谱问题的规范变换和约化技巧,构造了Gerjikov-Ivanov
方程的N次Darboux变换,由此,得到了Gerjikov-Ivanov
方程的单孤子解和双孤子解。 Darboux transformation and soliton-like solutions for the Gerdjikov–Ivanov 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 Gerdjikov–Ivanov equation is obtained. Furthermore, the explicit soliton-like solutions of the Gerdjikov–Ivanov equation are given by applying its Darboux transformation. 1、浏览全文需要使用软件--Abode Acrobat(由于软件较大并常见,我站不提供下载) 2、下载论文全文请点击(176KB)
本站收录的本文作者的其他论文: 1、The zero curvature representation for hierarchies of nonlinear evolution equations 2、Extended tanh-function method and its applications to nonlinear equations 3、Soliton solutions for a generalized Hirota–Satsuma coupled KdV equation and a coupled MKdV equation 4、Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method
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