A Reduced System of Linear Algebraic Equations for Giving Soliton Solutions of the Generalized ZS/AKNS Systems |
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| Authors: | CHEN Zong-yun XIAO Yi HUANG Nian-ning |
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| Affiliation: | 1. Department of Physics, Huazhong Univemity of Science;2. Technology, Wuhan 430074, China;3. Department of Physics, Wuhan Univemity, Wuhan 430072, China |
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| Abstract: | A simple method for finding soliton solutions of the generaked ZS/AKNS systems whose Lax pairs are matrices with high orders is considered. An explicit expreesion of transformation between the Jost solution relating to the (n-1)-soliton solution and that relating to the n-soliton solution is found. A reduced system of N algebraic equations for giving N soliton solutions is deduced, it has an identical form no matter how high the order of matrices of the Lax pain is. |
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