| 广义的带导数非线性薛定谔方程的有理解 |
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| 引用本文： | 段求员,李琪.广义的带导数非线性薛定谔方程的有理解[J].数学的实践与认识,2017(3):224-230. |
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| 作者姓名： | 段求员 李琪 |
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| 作者单位： | 1. 抚州职业技术学院基础教学部,江西抚州,344000;2. 东华理工大学抚州师范学院,江西抚州,344000 |
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| 基金项目： | 国家自然科学基金(11561002)，江西省自然科学基金(20142BAB201006) |
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| 摘 要： | 广义带导数非线性薛定谔方程是与Kaup-Newell谱问题相联系的一个非线性发展方程,方程可在合适的条件方程下,利用Wronsiki技巧,寻找广义双Wronsikian形式的一般解,进而得到其孤子解和有理解.
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| 关 键 词： | 广义带导数非线性薛定谔方程 Wronsiki技巧 孤子解 有理解 |
Rational Solutions of the General Nonlinear Schr(O)dinger Equation with Derivative |
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| DUAN Qiu-yuan,LI Qi.Rational Solutions of the General Nonlinear Schr(O)dinger Equation with Derivative[J].Mathematics in Practice and Theory,2017(3):224-230. |
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| Authors: | DUAN Qiu-yuan LI Qi |
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| Abstract: | General nonlinear Schr(o)dinger equation with derivative is a nonlinear evolution equation associated with the Kaup-Newell spectral problem,By using the Wronskian technique,we construct the double Wronskian solutions whose entries satisfy matrix equation.Soliton solutions and rational solutions are obtained from taking special cases in general solutions. |
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| Keywords: | general nonlinear Schr(o)dinger equation with derivative Wronskian technique Soliton solutions rational solutions |
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