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BBM方程的精确行波解研究 被引量:4

Exact Traveling Wave Solutions for the BBM Equation
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摘要 根据动力系统理论的特点,利用连接平衡点的闭轨线特点,并结合轨线与行波之间的对应关系,研究BBM方程的精确行波解,在不同参数条件下求得该方程的周期波解与孤立波解的精确显式表达式. In this paper, according to the theory of dynamical systems, the exact traveling wave solu tions of the BBM equation is investigated by using characteristics of the closed trajectory connecting e- quilibrium points and the relation between the obits and ditions, exact explicit representations of periodic wave traveling wave. Under different parametric con- solutions and solitary wave solutions are oh-tained.
出处 《湖州师范学院学报》 2017年第2期8-11,共4页 Journal of Huzhou University
基金 浙江省自然科学青年基金项目(LQ14A010009) 湖州师范学院"大学生创新创业训练计划"项目(2016-111)
关键词 平面动力系统 周期波解 孤立波解 planar dynamical systems periodic wave solutions solitary wave solutions
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