A new type of bounded waves for Degasperis-Procesi equation

作者：Chen C; Tang MY^*

来源：Chaos Solitons & Fractals, 2006, 27(3): 698-704.

DOI：10.1016/j.chaos.2005.04.040

• Bounded domains
• Bounded waves
• Integral methods
• Planar diagrams

In this paper we use integral method and numerical approach to show that Degasperis-Procesi equation
u(1) - u(xx1) + 4uu(x) = 3u(x)u(xx) + uu(xxx),
has new bounded waves which are defined on some semifinal bounded domains and possess properties of kink waves or antikink waves. Their implicit expressions are obtained. For a set of concrete data, the planar diagrams of the implicit expressions and their numerical simulations are displayed. It is seen that the planar diagrams are identical with the simulations.

• 出版日期2006-2
• 单位华南理工大学