【摘要】 利用变量分离方法 ,获得了 (2 +1 )维非线性Burgers方程的变量分离解 .由于在B cklund变换和变量分离步骤中引入了作为种子解的任意函数 ,因而精确解中含有三个任意函数 (其中一个为条件函数 ) ,适当地选择任意函数 ,可以获得多种形状的扭状孤波解、周期性孤子解和格子型孤波解更多还原

【Abstract】 A variable separation approach is applied to obtain the new exact explicit solution of (2+1) dimensional nonlinear Burgers equations. Using a Bcklund transformation and the variable separation technique, we find the variable separation solution of the (2+1) dimensional Burgers equations by the entrance of there arbitrary functions (one condition function) for the seed solution. Some special type of the kink soliton solution, periodic soliton solutions and lattice soliton solutions are discussed by selecting the arbitrary functions appropriately.更多还原