【目的】构建分数阶Khokhlov-Zabolotskaya-Kuznetsov方程新的精确解。【方法】结合修正的Riemann-Liouville导数,运用扩展的(G′/G)-展开法,引入了新的辅助方程。【结果】这些新的精确解包括了双曲函数解、三角函数解以及有理函数解。【结论】得到方程更多的精确解。
[Purposes]The exact solutions of fractional Khokhlov-Zabolotskaya-Kuznetsov equation are constructed.[Methods]Combined with the modified Riemann-Liouville derivative,the exact solutions of equation are obtained by the extended(G′/G)-expansion method which add negative power exponent and new auxiliary equation.[Findings]The new exact solutions contain hyperbolic function solution,trigonometric function solution and rational function solution.[Conclusions]The more exact solutions of equation are obtained.