时空分数阶Equal-width方程的新精确解
New Explicit Solutions for the Space-time Fractional-order Equal-width Equation
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摘要: 通过分数阶复杂变换, 将非线性分数阶偏微分方程转化为整数阶常微分方程, 然后基于扩展的 (G′/G) -展开法构建时空分数阶Equal-width方程新的精确解.这些解包括了三角函数解、负幂次解和双曲函数解.Abstract: By means of the fractional-order complex transformation, the nonlinear fractional-order partial differential equation is converted to an ordinary integer-order differential equation.Then, the extended (G′/G) -expansion method is used to construct the new exact solutions for space-time fractional-order Equal-width equations.The new exact solutions thus obtained include trigonometric function solutions, negative exponential solutions and hyperbolic functional solutions.