| Homoclinic orbits for some （2＋1）-dimensional nonlinear Schrodinger-like equations |
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| 作者姓名： | 沈守枫 张隽 |
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| 作者单位： | Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, P. R. China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （No. 10501040） |
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| 摘 要： | Chaos is closely associated with homoclinic orbits in deterministic nonlinear dynamics. In this paper, analytic expressions of homoclinic orbits for some （2＋1）- dimensional nonlinear Schrodinger-like equations are constructed based on Hirota＇s bilinear method, including long wave-short wave resonance interaction equation, generalization of the Zakharov equation, Mel＇nikov equation, and g-Schrodinger equation are constructed based on Hirota＇s bilinear method.
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| 关 键 词： | (2+1)维非线性薛定谔方程 双线性法 偏微分方程 非线性动力学 |
| 收稿时间： | 2008-05-07 |
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