一类广义正则长波方程的行波分支  

Bifurcations of Travelling Wave Solutions in a Class of Generalized RLW Equation

作　　者：唐生强[1] 陈春明[1] 

机构地区：[1]桂林电子工业学院图书馆,广西桂林541004

出　　处：《桂林电子工业学院学报》2005年第5期70-73,共4页Journal of Guilin Institute of Electronic Technology

摘　　要：用动力系统理论、分支理论和直接方法,研究了广义正则长波方程(GRLW),证明该方程存在光滑孤立波解和无穷多光滑周期波解。求出了当m=1时GRLW方程的显式精确行波解,并在不同的参数条件下,给出了上述光滑孤立波解和无穷多光滑周期波解存在的各类充分条件。The theory of dynamical systems, the theory of bifurcation, and the direct method are reterred to in investigating the generalized and the regularized long wave equation （GRLW）. ut ＋ ux ＋ u^mux - μuxxt = 0. Under the condition g≠0, where g is the integral constant,the existence of smooth solitary wave solutions and uncountable infinite smooth periodic wave solutions are proved. When m = 1, some exact explicit parametric representations of traveling wave solutions of GRLW equations are obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given.

关 键 词：光滑孤立波解 光滑周期波解 广义正则长波方程(GRLW) 

分 类 号：O175[理学—数学]