| New Solitary Solutions of （2＋1）-Dimensional Variable Coefficient Nonlinear Schrodinger Equation with an External Potential |
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| 作者姓名： | 宋朝晖 丁琦 梅建琴 张鸿庆 |
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| 作者单位： | School of Mathematics Sciences, Dalian University of Technology, Dalian 116024 |
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| 基金项目： | Supported by ＂Math＋X＂ Fund of Dalian University of Technology, Science Foundation of Dalian University of Technology （No SFDUT0808） and the National Key Basic Research and Development of China under Grant No 2004CB318000. |
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| 摘 要： | By a series of transformations, the （2＋1）-dimensional variable coefficient nonlinear Schr？dinger equation can turn to the Klein-Gordon equation. Many new double travelling wave solutions of the Klein-Gordon equation are obtained. Thus, the new solitary solutions of the variable coefficient nonlinear Schr？inger equation with an external potential can be found.
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| 关 键 词： | 非线性Schrodinger方程 变系数 孤波解 非线性薛定谔方程 Klein 孤立波解 行波解 |
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