广义(3+1)维KPB方程的对称约化、精确解和守恒律  

Symmetric Reduction,Exact Solution and Conservation Law of the Generalized (3+1) Dimensional KPB Equation

作　　者：常丽娜 刘汉泽[1] CHANG Li-na;LIU Han-ze(School of Mathematical Sciences,Liaocheng University,Liaocheng 252059,China)

机构地区：[1]聊城大学数学科学学院

出　　处：《滨州学院学报》2019年第2期40-47,共8页Journal of Binzhou University

基　　金：国家自然科学基金资助项目(11171041)

摘　　要：运用李对称方法得到了(3+1)维Kadomtsev-Petviashvili-Boussinesq(KPB)方程的对称和约化方程。进而,利用齐次平衡原理和椭圆函数方法得到了方程的精确解。最后,给出了该方程的守恒律。The symmetric and reductive equations of the (3+1) dimensional Kadomtsev-Petviashvili -Boussinesq(KPB) equation are obtained by using the Lie symmetry method.Furthermore,the exact solution of the equation is obtained by using the homogeneous equilibrium principle and the elliptic function method.Finally,the conservation law of the equation is given.

关 键 词：广义(3+1)维Kadomtsev-Petviashvili-Boussinesq方程 对称约化 精确解 守恒律 

分 类 号：O175.2[理学—数学]