| 带非均匀项的MKdV方程 |
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| 引用本文： | 徐宝智 赵申琪. 带非均匀项的MKdV方程[J]. 数学季刊, 1992, 7(1): 48-54 |
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| 作者姓名： | 徐宝智 赵申琪 |
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| 作者单位： | 浙江大学数学系，浙江大学数学系 杭州 310028，杭州 310028 |
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| 摘 要： | 本文讨论了带非均匀项的MKdV方程：ut 6u^2ux uxxx βu (α βx)ux=0（1.1）它与特征值问题Vx＝QV（1.3）相联系，文章推导了方程（1.3）的散射数据的演化规律，得到了方程（1.1）的反散射解－孤子解。最后还讨论了单孤子解和双孤子解。
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| 关 键 词： | 非均匀项 MKdV方程 特征值问题 孤子解 反数射解 |
The MKdV Equation with Nonuniformity Terms |
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| Xu Baozhi Zhao Shenqi. The MKdV Equation with Nonuniformity Terms[J]. Chinese Quarterly Journal of Mathematics, 1992, 7(1): 48-54 |
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| Authors: | Xu Baozhi Zhao Shenqi |
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| Abstract: | In this paper, the MKdV equation with nonuniformity terms is discussed. It relates to the eigenvalue problem The evolution laws of scattering data for (1. 3) are derived and the inverse scattering solutions-soliton solutions of eq(1. 1) are obtained. In the end of the paper, the single soliton solution and Double soliton solution are discussed. The result extends the situation in [1]. |
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| Keywords: | MKdV equation eigenvalue problem soliton solution |
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