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Wronskians, Generalized Wronskians and Solutions to the Korteweg-de Vries Equation

机译：Wronskians，广义的Wronskians和Korteweg-de的解决方案 Vries方程式

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摘要

A bridge going from Wronskian solutions to generalized Wronskian solutions ofthe Korteweg-de Vries equation is built. It is then shown that generalizedWronskian solutions can be viewed as Wronskian solutions. The idea is used togenerate positons, negatons and their interaction solutions to the Korteweg-deVries equation. Moreover, general positons and negatons are constructed throughthe Wronskian formulation. A few new exact solutions to the KdV equation areexplicitly presented as examples of Wronskian solutions.

机译：建立了从Wronskian解到Korteweg-de Vries方程的广义Wronskian解的桥梁。然后表明，广义Wronskian解可以看作Wronskian解。该思想用于生成正电子，负子及其与Korteweg-deVries方程的相互作用解。此外，一般的正子和负子是通过Wronskian公式构建的。作为Wronskian解决方案的示例，明确提出了一些新的KdV方程精确解。

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Ma, Wen-Xiu;
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年度 2003
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专利

1. Wronskian Form of N-Solitonic Solution for a Variable-Coefficient Korteweg-de Vries Equation with Nonuniformities [J] . CAI Ke-Jie, TIAN Bo, ZHANG Cheng, 理论物理通讯（英文版） . 2008,第011期
2. Wronskian Form of N-Solitonic Solution for a Variable-Coefficient Korteweg-de Vries Equation with Nonuniformities [J] . CAI Ke-Jie, TIAN Bo, ZHANG Cheng, 理论物理通讯：英文版 . 2008,第011期
3. Generalized Wronskian Solutions to Modified Korteweg-de Vries Equation via Its Backlund Transformation [J] . XUAN Qi-Fei, ZHANG Da-Jun 理论物理通讯：英文版 . 2008,第007期
4. Generalized Wronskian Solutions to Modified Korteweg-de Vries Equation via Its B(a)cklund Transformation [J] . XUAN Qi-Fei, ZHANG Da-Jun 理论物理通讯（英文版） . 2008,第007期
5. Wronskians, generalized Wronskians and solutions to the Korteweg-de Vries equation [J] . Ma WX Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2004,第1期

机译：Wronskians，广义Wronskians和Korteweg-de Vries方程的解
6. Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg-de Vries equation in fluids [J] . Yu X., Gao Y.-T., Sun Z.-Y., Nonlinear dynamics . 2012,第2期

机译：流体中广义变系数强迫Korteweg-de Vries方程的Wronskian解和可积性
7. The generalized Wronskian solutions of the integrable variable-coefficient Korteweg-de Vries equation [J] . Zhang Y., Zhao H.-Q., Ye L.-Y., International Journal of Modern Physics, B. Condensed Matter Physics, Statistical Physics, Applied Physics . 2011,第32期

机译：可积变系数Korteweg-de Vries方程的广义Wronskian解
8. Generalized Wronskian Solutions for a Non-isospectral MKdV Equation [C] . Zhang Yuanyuan 2010 International Conference on Computing, Control and Industrial Engineering . 2010

机译：非等光谱MKdV方程的广义Wronskian解
9. Pfaffian and Wronskian solutions to generalized integrable nonlinear partial differential equations. [D] . Asaad, Magdy G. 2012

机译：广义可积非线性偏微分方程的Pfaffian和Wronskian解。
10. Solution of the pulse width modulation problem using orthogonal polynomials and Korteweg-de Vries equations [O] . D. V. Chudnovsky, G. V. Chudnovsky 1999

机译：使用正交多项式和Korteweg-de Vries方程求解脉冲宽度调制问题
11. Wronskians, Generalized Wronskians and Solutions to the Korteweg-de Vries Equation [O] . Wen-xiu Ma 2003

机译：Wronskians，广义Wronskians和Korteweg-de Vries方程的解

Wronskians, Generalized Wronskians and Solutions to the Korteweg-de Vries Equation

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