关于指数函数法和最简方程修正法的讨论
Discussion on exp-function method and modified method of simplest equation
摘要:
讨论了修正的最简方程法与指数函数法的关系。首先根据应用最简方程法的经验,推广了指数函数法。然后,我们申请获得精确解的一类非线性偏微分方程的成员,其中包含作为特殊情况下的几个非线性偏微分方程模型水波的传播。
英文摘要:
We discuss the relation between the modified method of simplest equation and the exp-function method. First on the basis of our experience from the application of the method of simplest equation we generalize the exp-function ansatz. Then we apply the ansatz for obtaining exact solutions for members of a class of nonlinear PDEs which contains as particular cases several nonlinear PDEs that model the propagation of water waves.
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