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Exact Solutions for Two Equation Hierarchies |
| ZHAO Song-Lin1, ZHANG Da-Jun1, JI Jie2 |
| 1Department of Mathematics, Shanghai University, Shanghai 2004442College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018 |
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ZHAO Song-Lin, ZHANG Da-Jun, JI Jie 2010 Chin. Phys. Lett. 27 020201 |
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Abstract Bilinear forms and double-Wronskian solutions are given for two hierarchies, the (2+1)-dimensional breaking Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy and the negative order AKNS hierarchy. According to some choices of the coefficient matrix in the Wronskian condition equation set, we obtain some kinds of solutions for these two hierarchies, such as solitons, Jordan block solutions, rational solutions, complexitons and mixed solutions.
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02.30.Ik
05.45.Yv
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Received: 24 September 2009
Published: 08 February 2010
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