量子电子学报, 2015, 32 (1): 46, 网络出版: 2015-01-27  

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
作者单位
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
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。
Abstract
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 equations, 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.
参考文献

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冯春明, 刘庆松. 含色散项Zabolotskaya-Khokhlov方程的对称、约化、精确解和守恒律[J]. 量子电子学报, 2015, 32(1): 46. FENG Chunming, LIU Qingsong. Symmetries, reductions, exact solutions and conservation laws of Zabolotskaya-Khokhlov equation with dissipative term[J]. Chinese Journal of Quantum Electronics, 2015, 32(1): 46.

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