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Double Wronskian Solution and Conservation Laws for a Generalized Variable-Coefficient Higher-Order Nonlinear Schr¨odinger Equation in Optical Fibers

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Double Wronskian Solution and Conservation Laws for a Generalized Variable-Coefficient Higher-Order Nonlinear Schr¨odinger Equation in Optical Fibers

Xiang-Hua Menga, Hong-Wu Zhua, Juan Lia, Zhen-Zhi Yaoa, and Bo Tiana,b,c

aSchool of Science, P. O. Box 122, Beijing University of Posts and Telecommunications, Beijing 100876, China

bState Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

cKey Laboratory of Information Photonics and Optical Communications, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing 100876, China

Reprint requests to B. T.: E-mail: tian.bupt@yahoo.com.cn

Z. Naturforsch.64a,411 – 419 (2009); received June 30, 2008 / revised November 3, 2008

With applications in the higher-power and femtosecond optical transmission regime, a generalized variable-coefficient higher-order nonlinear Schr¨odinger (VC-HNLS) equation is analytically investi- gated. The multi-solitonic solutions of the generalized VC-HNLS equation in double Wronskian form is constructed and further verified using the Wronskian technique. Additionally, an infinite number of conservation laws for such an equation are presented. Finally, discussions and conclusions on results are made with figures plotted.

Key words:Generalized Variable-Coefficient Higher-Order Nonlinear Schr¨odinger Equation;

Double Wronskian Solution; Wronskian Technique; Conservation Laws.

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