应用广义扩展的F-展开法求(2+1)维CDGKS方程的精确解  

Application of the Generalized Modified F-expansion Method to the (2+1)-dimensional CDGKS Equation

作　　者：张风云[1] 

机构地区：[1]济宁学院数学系,山东曲阜273155

出　　处：《济宁学院学报》2012年第3期65-68,共4页Journal of Jining University

摘　　要：应用广义扩展的F-展开法,求得了(2+1)维CDGKS方程的一系列类型丰富、数量繁多的Ric-cati函数精确解,包含周期波解、双曲函数类孤子解、三角函数解、有理函数解、复数形式解等.In this paper, combining the homogeneous balance method and generalized modified F - expansion method, we study the exact solutions for the （2 ＋ 1 ） - dimensional CDGKS equation. Abundant exact solu- tions of this equation are obtained, including single and combined non -degenerate Jacobi elliptic function so- lutions, soliton- like solutions, exponential solutions, periodic wave solutions, solitary wave solutions, trian- gle function solutions, rational function solutions, and plural number formal solutions, etc.

关 键 词：广义扩展的F-展开法 (2+1)维CDGKS方程 Riccati函数方程 精确解 

分 类 号：O175[理学—数学]