含色散项Zabolotskaya-Khokhlov方程的对称、约化、精确解和守恒律  

Symmetries,reductions,exact solutions and conservation laws of Zabolotskaya-Khokhlov equation with dissipative term

作　　者：冯春明[1] 刘庆松[2] 

机构地区：[1]聊城大学东昌学院,山东聊城252059 [2]聊城大学学报编辑部,山东聊城252059

出　　处：《量子电子学报》2015年第1期46-52,共7页Chinese Journal of Quantum Electronics

基　　金：国家自然科学基金;中国工程物理研究院联合基金(11076015);聊城大学东昌学院课题(2013LG001)资助

摘　　要：利用修正的Clarkson-Kruskal(CK)直接方法得到了含色散项的Zabolotskaya-Khokhlov(简写为DZK)方程的对称、约化和一些精确解,包括双曲函数解,有理函数解,三角函数解等,同时得到了该方程的守恒律.Using the modified Clarkson-Kruskal direct method, the symmetries reductions of the Zabolotskaya-Khokhlov equation with a dissipative term were obtained. By solving the reduction equa- tions, a great many of solutions were derived, including the rational function solutions, the trigonometric function solutions, hyperbolic function solutions and so on. The conservation laws were given at last.

关 键 词：非线性方程 修正的Clarkson-Kruskal直接方法 DZK方程 对称 约化 精确解 守恒律 

分 类 号：O175.29[理学—数学]