一类二维空间中广义Boussinesq水波系统解的渐近性(英文)

The Asymptoics of Solutions for a Generalized Boussinesq Water System in Two-dimensional Space

在二维空间中,讨论了一类Boussinesq水波系统并用初值中出现的小参数的级数形式表示了此系统的确切解,得到了此解的长时间渐近行为按指数衰减.

For a generalized Boussinesq water system in two-dimensional space,its exact solution is constructed in the form of a series in a small parameter provided in the initial conditions. The long-time asymptotics of the solution is obtained to decay exponentially in time.