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Backlund Transformation in Bilinear Form for a Higher-Order Nonlinear Schrodinger Equation
Hong-Wu Zhu #,Bo Tian *
School of Science, P. O. Box 122, Beijing University of Posts
*Correspondence author
#Submitted by
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Funding: 教育部,教育部,国家自然科学基金（No.20060006024）
Opened online:17 January 2007
Accepted by: none
Citation: Hong-Wu Zhu,Bo Tian.Backlund Transformation in Bilinear Form for a Higher-Order Nonlinear Schrodinger Equation[OL]. [17 January 2007] http://en.paper.edu.cn/en_releasepaper/content/10762
 
 
Backlund transformation in bilinear form is presented for a higher-order nonlinear Schrodinger equation, which describes the propagation of ultrashort light pulses in optical fibers. With symbolic computation and starting from the Backlund transformation, the analytical soliton solution is obtained from a trivial solution and the inverse scattering transform scheme is also derived. Furthermore, the N-soliton solution in double Wronskian form is given, and the value of the arbitrary constant appearing in the Backlund transformation is determined for a transformation between the (N-1) and N-soliton solutions. The results obtained from the Backlund transformation might be valuable in optical communications.
Keywords:Computerized symbolic computation, Higher-order nonlinear Schrodinger equation; Backlund transformation in bilinear form; Soliton solution; Double Wronskian solution; Inverse scattering transform scheme
 
 
 

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