A Bilinear Baecklund Transformation and N-Soliton-Like Solution of Three Coupled Higher-Order Nonlinear Schroedinger Equations with Symbolic Computation

A bilinear Baecklund transformation is presented for the three coupled higher-order nonlinear Schroedinger equations with the inclusion of the group velocity dispersion, third-order dispersion and Kerr-law nonlinearity, which can describe the dynamics of alpha helical proteins in living systems as w...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 50; no. 9; pp. 689 - 695
Main Author ZHU Hong-Wu TIAN Bo MENG Xiang-Hua LI Juan XU Tao
Format Journal Article
LanguageEnglish
Published 2008
Subjects
孤立子
非线性方程式
高级序列
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Summary:A bilinear Baecklund transformation is presented for the three coupled higher-order nonlinear Schroedinger equations with the inclusion of the group velocity dispersion, third-order dispersion and Kerr-law nonlinearity, which can describe the dynamics of alpha helical proteins in living systems as well as the propagation of ultrashort pulses in wavelength-division multiplexed system. Starting from the Baecklund transformation, the analytical soliton solution is obtained from a trivial solution. Simultaneously, the N-soliton-like solution in double Wronskian form is constructed, and the corresponding proof is also given via the Wronskian technique. The results obtained from this paper might be valuable in studying the transfer of energy in biophysics and the transmission of light pulses in optical communication systems.
Bibliography:11-2592/O3
O156
coupled higher-order nonlinear Schroedinger equations, Baecklund transformation, soliton solution,Wronskian technique, symbolic computation
ISSN:0253-6102