空间-时间分数阶(2+1)-维Maccari方程组的新精确解

New Exact Solutions of Space-Time Fractional Order(2+1)-Dimensional Maccari Equations

通过扩展的试探方程法去求解空间-时间分数阶(2+1)-维Maccari方程组{i D_(t)^(α)q+D_(ττ)^(2β)q+qr=0 D_(t)^(α)r+D_(ρ)^(η)r+D_(τ)^(β)(|q|^(2))=0的精确解,得到了5组新的精确解.这些解分为3类,即有理数解、双曲函数解、指数函数解,极大地丰富了解系,并且这些解在光纤学、量子力学、海洋学和光学等科学中也具有多种应用.

In this paper,the extended trial equation method is used to solve the space-time fractional order(2+1)-dimensional Maccari equations{i D_(t)^(α)q+D_(ττ)^(2β)q+qr=0 D_(t)^(α)r+D_(ρ)^(η)r+D_(τ)^(β)(|q|^(2))=0 Five sets of new exact solutions of the space-time fractional order(2+1)-dimensional Maccari equations are obtained.These solutions are divided into three categories:rational,hyperbolic and exponential solutions,which greatly enriched the understanding of the system.And these solutions are also used in optical fiber,quantum mechanics,ocean and optical science.