| Multilinear Variable Separation Approach in （3＋1）-Dimensions： the Burgers Equation |
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| 引用本文： | 应金萍,楼森岳.Multilinear Variable Separation Approach in （3＋1）-Dimensions： the Burgers Equation[J].中国物理快报,2003,20(9):1448-1451. |
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| 作者姓名： | 应金萍 楼森岳 |
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| 作者单位： | [1]DepartmeatofPhysics,ShanghaiJiaoToagUniversity,Shaaghai200030 [2]SchoolofMathematics,TheUniversityofNewSouthWales,Sydney,NSW2052,Australia |
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| 摘 要： | The multi-linear variable separation approach has been proved to be very useful in solving many (2 1)-dimensional integrable systems. Taking the (3 l)-dimeusional Burgers equation as a simple example, here we extend the multi-linear variable separation approach to (3 l )-dimensions. The form of the universal formula obtained from many (2 l )-dimensional system is still valid. However, a more general arbitrary function (with three independentvariables) has been included in the formula. Starting from the universal formula, one may obtain abundant (3 l )-dimensional localized excitations. In particular, we display a special paraboloid-type camber soliton solution and a dipole-type dromion solution which is localized in all directions.
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| 关 键 词： | 多线性可变分离近似 （3＋1）维积分系统 Burgers方程 数值计算 孤波解 |
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