Multilinear Variable Separation Approach in （3＋1）-Dimensions： the Burgers Equation
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.
引用本文（GB/T 7714）
应金萍, 楼森岳. Multilinear Variable Separation Approach in （3＋1）-Dimensions： the Burgers Equation[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2003.
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