Quasi-periodic solutions of mixed AKNS equations |
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Authors: | Xianguo Geng Bo Xue |
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Affiliation: | Department of Mathematics, Zhengzhou University, 100 Kexue Road Zhengzhou, Henan 450001, People’s Republic of China |
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Abstract: | A hierarchy of new nonlinear evolution equations, which are composed of the positive and negative AKNS flows, is proposed. On the basis of the theory of algebraic curves, the corresponding flows are straightened using the Abel-Jacobi coordinates. The meromorphic function ?, the Baker-Akhiezer vector , and the hyperelliptic curve Kn are introduced and, by using these, quasi-periodic solutions of the first three nonlinear evolution equations in the hierarchy are constructed according to the asymptotic properties and the algebro-geometric characters of ?, and Kn. |
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Keywords: | Mixed AKNS equations Quasi-periodic solutions |
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