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中文摘要：
将试探函数方法扩展应用于求解高维非线性偏微分方程．通过引入变换和选准试探函数，把难于求解的高维非线性偏微分方程化为易于求解的代数方程，然后用待定系数法确定相应的常数．从而简洁地求得了方程的解析解．
英文摘要：
High-dimensional nonlinear equations are solved by the trial function method. By introducing transformation and selecting appropriate trial functions,the high-dimensional nonlinear partial differential equations that are hard to be solved by the usual ways can be reduced to a set of algebraic equations,which can be easily solved,and their related coefficients can be easily determined by the undetermined coefficient method. Finally,the analytical solutions to the equations were successfully derived.
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