Discontinuous traveling waves as weak solutions to the Fornberg-Whitham equation
classification
🧮 math.AP
keywords
travelingweakdiscontinuousequationfornberg-whithamsolutionswavesanalysis
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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.
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