Deep Reduction of Darboux Transformation to a $3\times3$ Spectral Problem

Citation:

LI Yishen,HAN Wenting.Deep Reduction of Darboux Transformation to a $3\times3$ Spectral Problem[J].Chinese Annals of Mathematics B,2001,22(2):171~176
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Authors:

LI Yishen; HAN Wenting

Foundation:

Project supported by the National Basic Research Project of Nonlinear Science (No.HH4712), and the Ministry of Education of China (No. WJ0146).
Abstract: The Darboux transformation of a $3\times3$ spectral problem which is associated with the higher-order nonlinear Schrodinger equation is given. Some solutions of the higher-order nonlinear Schrodinger equation are provided by taking different "seeds".

Keywords:

Darboux transformation, Higher-order nonlinear Schrodinger equation, Deep reduction

Classification:

35Q55, 35P05
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