广义Ostrovsky方程的精确解  

Exact Solutions for the Generalized Ostrovsky Equation

作　　者：王跃明[1] 姚丽萍[2] 王明亮[1] 

机构地区：[1]河南科技大学理学院,河南洛阳471003 [2]洛阳师范学院物理系,河南洛阳471003

出　　处：《河南科技大学学报（自然科学版）》2006年第5期83-85,89,共4页Journal of Henan University of Science And Technology:Natural Science

基　　金：河南省教育厅自然科学基金项目(2006110002);河南科技大学科研基金项目(2006ZY001;2004ZD002)

摘　　要：F展开法可看作是最近提出的Jacob i椭圆函数展开方法的概括或浓缩。用F展开法导出了旋转海洋研究中出现的广义Ostrovsky方程的稳定解的浓缩公式,从浓缩公式中分离出了广义Ostrovsky方程的4种Jacob i椭圆函数表示的周期波解。当模数m→1和m→0时,也分别得到了该方程的孤立波解和三角函数解。Using F-expansion method which can be thought of as a generalization or concentration of the Jacobi elliptic function expansion is proposed recently.A concentration formula of the stationary solution of the generalized Ostrovsky equation(GOE) arisen from a rotating Ocean is derived.Four kinds of periodic wave solutions expressed by various Jacobi elliptic functions of the GOE are dissociated from the concentration formula.When the modulus m1 and m0,the solitary wave solutions and trigonometric function solutions of the GOE are also obtained respectively.

关 键 词：广义Ostrovsky方程 解的浓缩公式 JACOBI椭圆函数 周期波解 孤立波解 

分 类 号：O175.2[理学—数学]