Discontinuous traveling waves as weak solutions to the Fornberg-Whitham equation

作者：Hoermann Guenther

来源：Journal of Differential Equations, 2018, 265(7): 2825-2841.

DOI：10.1016/j.jde.2018.04.056

• Weak solutions
• Traveling waves
• Nonlinear integro-differential equations

We analyze the weak solution concept for the Fornberg-Whitham equation in case of traveling waves with a piecewise smooth profile function. The existence of discontinuous weak traveling wave solutions is shown by means of analysis of a corresponding planar dynamical system and appropriate patching of disconnected orbits.

• 出版日期2018-10-5