| Homoclinic orbits of the doubly periodic Davey-Stewartson equation |
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| 引用本文： | ZHANG Jun,GUO Boling,SHEN Shoufeng. Homoclinic orbits of the doubly periodic Davey-Stewartson equation[J]. 自然科学进展(英文版), 2004, 14(11): 1031-1032. DOI: 10.1080/10020070412331344761 |
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| 作者姓名： | ZHANG Jun GUO Boling SHEN Shoufeng |
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| 作者单位： | Institute of Applied Physics and Computational Mathematics, Beijing 100088, China,Institute of Applied Physics and Computational Mathematics, Beijing 100088, China,Department of Mathematics, Zhejiang University, Hangzhou 310027, China |
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| 摘 要： | Chaos is closely associated with homoclinic orbits in deterministic nonlinear dynamics. In this note, the homoclinic orbits of the doubly periodic Davey-Stewartson equation are obtained by using the Hirota's bilinear methods, which is important to the study on the global property of the doubly periodic Davey-Stewartson equation.
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| 关 键 词： | homoclinic orbit Hirota's bilinear method Davey-Stewartson equation |
Homoclinic orbits of the doubly periodic Davey-Stewartson equation |
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| ZHANG Jun,GUO Boling,SHEN Shoufeng. Homoclinic orbits of the doubly periodic Davey-Stewartson equation[J]. Progress in Natural Science, 2004, 14(11): 1031-1032. DOI: 10.1080/10020070412331344761 |
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| Authors: | ZHANG Jun GUO Boling SHEN Shoufeng |
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| Affiliation: | 1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
2. Department of Mathematics, Zhejiang University, Hangzhou 310027, China |
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| Abstract: | Chaos is closely associated with homoclinic orbits in deterministic nonlinear dynamics. In this note, the homoclinic orbits of the doubly periodic Davey-Stewartson equation are obtained by using the Hirota's bilinear methods, which is important to the study on the global property of the doubly periodic Davey-Stewartson equation. |
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| Keywords: | homoclinic orbit Hirota's bilinear method Davey-Stewartson equation |
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