Elliptic Equation and Its Direct Applications to Nonlinear Wave Equations  

作　　者：FUZun-Tao CHENZhe LIUShi-Da LIUShi-Kuo 

机构地区：[1]SchoolofPhysics,PekingUniversity,Beijing100871,China [2]StateKeyLaboratoryforTurbulenceandComplexSystem,PekingUniversity,Beijing100871,China

出　　处：《Communications in Theoretical Physics》2004年第5期675-680,共6页理论物理通讯（英文版）

基　　金：国家自然科学基金

摘　　要：Elliptic equation is taken as an ansatz and applied to solve nonlinear wave equations directly. More kinds of solutions are directly obtained, such as rational solutions, solitary wave solutions, periodic wave solutions and so on.It is shown that this method is more powerful in giving more kinds of solutions, so it can be taken as a generalized method.

关 键 词：elliptic equation Jacobi elliptic function nonlinear equation periodic wave solution 

分 类 号：O413.1[理学—理论物理]