广义KP-BBM方程的行波解分支  

Bifurcations of travelling wave solutions for generalized KP-BBM equation

作　　者：罗国湘[1] 卢钇存[2] 陈爱永[2] 

机构地区：[1]桂林航天工业高等专科学校计算机系,广西桂林541004 [2]桂林电子科技大学数学与计算科学学院,广西桂林541004

出　　处：《桂林电子科技大学学报》2008年第1期44-47,共4页Journal of Guilin University of Electronic Technology

基　　金：广西自然科学基金(0575092)

摘　　要：利用动力系统分支理论研究了广义KP-BBM方程,给出了该行波系统的相图,指出奇异线的存在是光滑周期波收敛到周期尖波的原因所在,获得了在不同参数条件下紧孤立子解和周期波解存在的充分条件和一些解的精确表达式。Using the bifurcation theory of planar dynamical systems to study the generalized KP-BBM equation, the phase portraits of the traveling wave system are given. It is pointed out that the existence of singular straight line in the traveling wave system is the factor that causes smooth periodic wave to converge periodic cusp waves. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions and some exact explicit parametric represerttatiorts of above solutions are obtairted.

关 键 词：紧孤立子解 周期波 周期尖波 KP—BBM方程 

分 类 号：O175[理学—数学]