【摘要】 在一个新的更一般的假设下,借助于符号计算,提出了一个椭圆函数有理展开法,并用它统一地求出许多非线性发展方程新的双周期精确解.本文选择(2+1)维色散长波方程作为此方法的应用来加以说明.得到了Yan方法所得的所有解,并且得到更多的一般形式的解.在m取它的极限时,可得到许多冲击波解和孤立波解.更多还原

【Abstract】 In this paper,a rational elliptice function method is given by symbolic computation expansion method and a new hypothesis.Moreover,the method is quoted to obtain the new double-periodic exact solutions of many nonlinear evolution equations uniformly.To apply this method we choose the(2+1)-dimensional dispersive long wave equation.The result shows that we get all the solutions that Yan received by his method.Simultaneously,more general formal solutions are derived when using the limit of m,we can have many solitary wave solutions and soliton solutions.更多还原