变形Boussinesq方程组的周期波解和孤立波解  

Periodic Wave Solutions and Solitary Wave Solutions to Variant Boussinesq Equations

作　　者：李保安[1] 李修勇[1] 李晓燕[1] 王明亮[1] 

机构地区：[1]河南科技大学数理系,河南洛阳471003

出　　处：《河南科技大学学报（自然科学版）》2004年第2期91-94,共4页Journal of Henan University of Science And Technology:Natural Science

基　　金：河南省自然科学基金资助项目 (0 1110 5 0 2 0 0 );河南科技大学科研基金资助项目 (2 0 0 3ZY0 3 )

摘　　要：变形Boussinesq方程组是描述水波双向传播的数学模型。根据齐次平衡原则并利用F -展开法求出了该方程组丰富的用Jacobi椭圆函数表示的双周期波解。在极限情形下 ,得到了该方程组的孤立波解和单周期波解。The system of variant Boussinesq equations is a mathematical model describing water waves movement to both left and right.An abundanct doubly periodic wave solutions to the system are obtained by using the homogeneous balance principle and F-expansion method having been regarded as an over-all generalization of Jacobi elliptic function expansion method proposed recently. In the limit cases, the solitary wave solutions and other type of single periodic wave solutions to the system are obtained as well.

关 键 词：变形Boussinesq方程组 周期波解 孤立波解 水波 椭圆函数 周期船 F-展开法 齐次平衡原则 

分 类 号：O413[理学—理论物理] O411[理学—物理]