Pfaffian Solutions and Resonant Interaction Properties of a Coupled BKP Lattice |
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| Authors: | ZHAO Hai-Qiong YU Guo-Fu |
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| Institution: | 1. Business Information Management School, Shanghai University of International Business and Economics, Shanghai 201620, China;
2. Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China |
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| Abstract: | In this paper, we give a coupled lattice equation with the help of Hirota operators, which comes from a special BKP lattice. Two-soliton and three-soliton solutions to the coupled system are constructed. Furthermore, resonant interaction of the two-soliton solution is analyzed in detail. Under some special resonant condition, it is shown that low soliton can propagate faster than high one. Finally, the N-soliton solution is presented in the Pfaffian form. |
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| Keywords: | Hirota method BKP equation soliton interaction Pfaffian identity |
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