求BBM方程精确行波解的新方法  

New method for finding exact travelling solutions of BBM equation

作　　者：叶彩儿[1] 张卫国[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2010年第4期307-310,共4页Journal of University of Shanghai For Science and Technology

基　　金：上海市重点学科建设资助项目(S30501);上海市自然科学基金资助项目(10ZR1420800)

摘　　要：采用多项式完全判别系统求出了BBM方程丰富的行波解,其中包括有理函数解、孤波解、三角函数解、Jacobi椭圆函数周期解.讨论积分常数对方程解的影响,多项式的根、周期解、孤波解三者之间的关系.Abundant exact travelling wave solutions of the BBM（benjamin bona mahoney） equation were presented by use of a complete discrimination system for polynomial.These solutions include rational function solutions,solitary wave solutions,triangular function solutions and Jacobi elliptic function periodic solutions.The influences of integration constant on the solutions of BBM equation and on the relations among roots for polynomial,periodic wave solutions and solitary wave solutions were discussed.

关 键 词：多项式完全判别系统 BBM方程 精确行波解 孤波解 

分 类 号：O175[理学—数学]