组合KdV方程的孤立子解与双周期解研究  

Soliton Solutions and Double Periodic Solutions of the Combinatorial KdV Equation

作　　者：韩冰冰[1] HAN Bingbing(Panjin Vocational and Technical College,Panjin,Liaoning 124000,China)

机构地区：[1]盘锦职业技术学院,辽宁盘锦124000

出　　处：《广西科技师范学院学报》2018年第2期145-148,共4页Journal of Guangxi Science & Technology Normal University

摘　　要：非线性偏微分方程精确解的求解对于物理学与数学的发展都具有非常重要的意义,因此,一直以来都是数学家与物理学家关注的重点内容.利用齐次平衡原则以及F-展开法求得了组合KdV方程的行波解与精确解,得出了组合KdV方程的孤立子解与双周期解.The solution of the exact solutions to nonlinear partial differential equations is of great importance to the development of physics and mathematics.Therefore,it has always been the focus of mathematicians and physicists.In recent years,the development of the principle of homogeneous balance provides the necessary foundation for solving the exact solution of nonlinear partial differential equa tions.Based on this situation,this paper studies the soliton solutions and bi-periodic solutions of the KdV equation based on the principle of homogeneous balance and the F-expansion method.

关 键 词：组合KDV方程 行波解 孤立子解 双周期解 

分 类 号：O175[理学—数学]