Article ID Journal Published Year Pages File Type
842445 Nonlinear Analysis: Theory, Methods & Applications 2009 16 Pages PDF
Abstract

Considered herein is the initial-value problem for the periodic Degasperis–Procesi equation with a strong dispersive term that is an approximation to the incompressible Euler equation for shallow water waves. The existence and uniqueness of global weak solutions are established. Moreover, the periodic peakon and shockpeakon solutions of the equation are constructed.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Authors
,