Аннотация:
Due to the perfect correspondence between the bounded orbits of traveling wave systems and the interested traveling wave solutions to nonlinear waves, qualitative and bifurcation analysis methods from dynamical systems theory have been effectively applied to the study of various nonlinear wave equations. This talk explores the application of dynamical systems methods to investigate traveling wave solutions of nonlinear wave equations. Specifically, it focuses on the application of these methods to analyze traveling wave solutions of a generalized Camassa-Holm equation, including peakons and periodic cusp wave solutions.
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