| 非线性Schr(o)dinger方程的暗孤子微扰理论 |
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| 引用本文： | 敖胜美,颜家壬. 非线性Schr(o)dinger方程的暗孤子微扰理论[J]. 湖南城市学院学报(自然科学版), 2005, 14(4) |
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| 作者姓名： | 敖胜美 颜家壬 |
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| 作者单位： | 湖南师范大学,物理与信息科学学院,湖南,长沙,410081;湖南师范大学,物理与信息科学学院,湖南,长沙,410081 |
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| 基金项目： | the National Science Foundation of China |
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| 摘 要： | 基于分离变量法和构件平方约斯特(Jost)解完备集发展了研究非线性Schr(o)dinger(NLS+)方程的暗孤子微扰理论,给出了求微扰NLS+方程绝热解的一般方法,暗孤子参数演化方程和一级修正计算公式.以阻尼NLS+方程为例说明这种方法的应用.
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| 关 键 词： | 暗孤子 微扰 分离变量 平方约斯特(Jost)解 |
A Dark-Soliton Perturbation Theory on the Defocusing Nonlinear Schr(o)dinger Equation |
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| AO Sheng-mei,YAN Jia-ren. A Dark-Soliton Perturbation Theory on the Defocusing Nonlinear Schr(o)dinger Equation[J]. Journal of Hunan City University:Natural Science, 2005, 14(4) |
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| Authors: | AO Sheng-mei YAN Jia-ren |
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| Abstract: | A perturbation theory for dark solitonic solutions of the defocusing nonlinear Schr(o)dinger equation, which bases on the separation of variables and the construction of a complete set of squared Jost solutions is developed. The general procedure solving the adiabatic solution of perturbed NLS+equation, the time-evolution equation of dark soliton parameters and a formula for calculating the first-order correction are presented. Using an example, we show the application of this method. |
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| Keywords: | Perturbation dark soliton separation of variables squared Jost solutions |
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