| 扰动非线性薛定谔方程的Painleve分析和精确孤立子解 |
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| 引用本文： | 王烈衍. 扰动非线性薛定谔方程的Painleve分析和精确孤立子解[J]. 宁波大学学报(理工版), 1999, 12(2): 37-41 |
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| 作者姓名： | 王烈衍 |
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| 作者单位： | 宁波大学物理系!浙江宁波，315211 |
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| 基金项目： | 国家自然科学基金!19975025，浙江省自然科学基金!196003 |
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| 摘 要： | 指出扰动的非线性项仅在扰动项为零时，才具有Painleve性质．利用截断的Painleve分析方法得到了扰动非线性薛定谔方程的Backlund变换和5种形式的精确孤立子解．
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| 关 键 词： | 扰动 薛定谔方程 Painleve分析 孤立子 |
PAINLAEVE ANALYSIS OF THE PERTUEBED NONLINEAR SCHRODINGER EQUATION AND ITS EXACT SOLITON SOLUTIONS |
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| WANG Lie-yan. PAINLAEVE ANALYSIS OF THE PERTUEBED NONLINEAR SCHRODINGER EQUATION AND ITS EXACT SOLITON SOLUTIONS[J]. Journal of Ningbo University(Natural Science and Engineering Edition), 1999, 12(2): 37-41 |
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| Authors: | WANG Lie-yan |
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| Abstract: | It is pointed out that the perturbed nonlinear Schrodinger equation possessesthe painleve property only for the perturbed term being zero. Using the truncatedperturbed Painleve analysis, the Backlund transformation, and five kinds of exact solitonsolutions are obtained. |
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| Keywords: | perturbed Schrodinger equation Painleve analysis soliton |
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