(3+1)维非线性分数阶Jimbo-Miwa方程的新精确解

New exact solution for (3+1) dimensional nonlinear fractional Jimbo-Miwa equation

摘要:

本文首先利用复变换和整合分数阶导数将(3+1)维分数阶Jimbo-Miwa(JM)方程转化为常微分方程进行研究, 再用扩展的(G'/G)-展开法求出分数阶JM方程的精确解,其中包括双曲函数解、三角函数解和有理函数解,. 这些都是与现有文献不同的新解.

Abstract:

By using the complex transform and conformable fractional derivative transform methods, the (3 + 1) dimensional fractional Jimbo-Miwa equation is transformed into an ordinary differential equation. Then the expanded (G'/G) expansion method is used to study the fractional JM equation. The hyperbolic function solution, trigonometric function solution and rational function solution are obtained.