| Bācklund变换在复系数2＋1维KD方程应用 |
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| 引用本文： | 刘东,张盛.Bācklund变换在复系数2＋1维KD方程应用[J].锦州师范学院学报(自然科学版),2013(4):352-357. |
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| 作者姓名： | 刘东 张盛 |
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| 作者单位： | 渤海大学数理学院,辽宁锦州121013 |
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| 基金项目： | 辽宁省自然科学基金（No：2012404）. |
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| 摘 要： | 利用对数变换，将复系数2＋1维KD方程转化双线性方程组，进而获得该方程组的单孤波解、双孤波解以及N-孤波解，通过已获得双线性方程组进一步得到相应的双线性Bācklund变换，利用该变换，给出一组新的孤波解．
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| 关 键 词： | 2＋1维KD方程 双线性Bācklund变换 孤波解 |
Applications in complex coefficients （2 ＋ 1 ）-dimensional KD equation about the Bācklund Transformation |
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| LIU Dong,ZHANG Sheng.Applications in complex coefficients （2 ＋ 1 ）-dimensional KD equation about the Bācklund Transformation[J].Journal of Jinzhou Normal College (Natural Science Edition),2013(4):352-357. |
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| Authors: | LIU Dong ZHANG Sheng |
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| Institution: | (College of Mathematical and Physics, Bohai University, Jinzhou 121013, China) |
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| Abstract: | Using the logarithmic transformation, making KD equation into equations set of bilinear form, and then get the complex coefficients of （2 ＋ 1 ） - dimensional a single solitary wave solution , two - solitary wave solution and N - solitary wave solution of the equations set. we further obtain corresponding bilinear Bācklund transformation by getting bilinear equations set, finally, a new set of solitary wave solutions are given. |
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| Keywords: | 2 ＋ 1 dimensional KD equation Bilinear Bācklund transformation solitary wave solutions |
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