| 变系数MKdV方程的Bcklund变换和精确解 |
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| 引用本文： | 徐传友. 变系数MKdV方程的Bcklund变换和精确解[J]. 阜阳师范学院学报(自然科学版), 2007, 0(2) |
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| 作者姓名： | 徐传友 |
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| 作者单位： | 阜阳师范学院数学系 安徽阜阳236041 |
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| 摘 要： | 在假设系数线性相关的情况下,利用齐次平衡法得到了变系数MKdV方程的Bcklund变换,并利用此Bcklund变换得到了求解该方程的一般方法;利用截断展开法和延拓齐次平衡法得到了该方程的一组精确孤子解.
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| 关 键 词： | 齐次平衡法 Bcklund变换 截断展开法 精确孤子解 |
A Bcklund Transformation and Exact Solutions to MKdV Equation with General Variable Coefficients |
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| XU Chuan-you. A Bcklund Transformation and Exact Solutions to MKdV Equation with General Variable Coefficients[J]. Journal of Fuyang Teachers College:Natural Science, 2007, 0(2) |
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| Authors: | XU Chuan-you |
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| Abstract: | A Bcklund transformation(BT) to the MKdV equation with general variable coefficients is derived by using the homogeneous balance method if the equation are linearly dependent.Based on the BT,we offer a generalized method for solving the equation.An exact soliton solutions to the equation is derived by using the extended homogeneous balance method and the truncated expansion method. |
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| Keywords: | homogeneous balance method Bcklund transformation truncated expansion method exact soliton solution |
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