分数阶Khokhlov-Zabolotskaya-Kuznetsov方程新的精确解  

The Construction of New Exact Solutions for Fractional Khokhlov-Zabolotskaya-Kuznetsov Equation

作　　者：张雪[1] 孙峪怀[1] 洪韵 江林[1] ZHANG Xue SUN Yuhuai HONG Yun JIANG Lin(College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China)

机构地区：[1]四川师范大学数学与软件科学学院,成都610066

出　　处：《重庆师范大学学报（自然科学版）》2017年第5期72-76,共5页Journal of Chongqing Normal University:Natural Science

基　　金：国家自然科学基金(No.11371267);四川省教育厅自然科学重点基金(No.2012ZA135)

摘　　要：【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.

关 键 词：扩展的(G′/G)-展开法 分数阶Khokhlov-Zabolotskaya-Kuznetsov方程 精确解 

分 类 号：O175.29[理学—数学]