广义变系数五阶KdV和BBM方程的孤立子解(英文)  

Soliton solutions for generalized fifth-order KdV and BBM equations with variable coefficients

作　　者：孙玉真[1] 王振立[1] 王岗伟[1] 刘希强[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《量子电子学报》2013年第4期398-404,共7页Chinese Journal of Quantum Electronics

基　　金：Supported by National Natural Science Foundation of China and China Academy of Engineering Physics (11076015)

摘　　要：利用假设孤立波方法,研究了广义变系数五阶KdV方程和BBM方程,得到了广义变系数五阶KdV方程和BBM方程的孤立子解。对于得到的孤立子解,为了保证解的存在性,给出了孤立子解存在的条件。The wave soliton ansatz was performed for both the generalized fifth-order KdV and BBM equations. The soliton solutions for both the generalized fifth-order KdV and BBM equations were given For the soliton solutions, to guarantee the existence of the above soliton solutions, the conditions of existence of soliton solutions were presented

关 键 词：孤立子 假设方法 变系数 五阶KDV方程 BBM方程 

分 类 号：O175.2[理学—数学]