Abstract
A hydrodynamic-type system taking into account nonlocal effects is investigated. The exact traveling wave solutions including smooth solitary waves solutions, pseudo-peakons, periodic peakons, compactons, kink, and anti-kink wave solutions and so on are derived via the method of dynamical systems and the theory of singular traveling wave systems. It is worth pointing out that the uncountably infinitely many solitary wave solutions, kink, and anti-kink solutions are new solutions for the modeling system.
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Funding
This study was funded by the National Natural Science Foundation of China [grant numbers 61573004, 11371326].
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Liang, J., Zhang, Y. The Bifurcations and Exact Traveling Wave Solutions for a Nonlocal Hydrodynamic-Type System. J Dyn Control Syst 27, 645–659 (2021). https://doi.org/10.1007/s10883-020-09509-y
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DOI: https://doi.org/10.1007/s10883-020-09509-y