Dynamical behaviours and exact travelling wave solutions of modified generalized Vakhnenko equation
JUNJUN XIAO DAHE FENG XIA MENG YUANQUAN CHENG
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By using the bifurcation theory of planar dynamical systems and the qualitative theory of differential equations, we studied the dynamical behaviours and exact travelling wave solutions of the modified generalized Vakhnenko equation (mGVE). As a result, we obtained all possible bifurcation parametric sets and many explicit formulas of smooth and non-smooth travelling waves such as cusped solitons, loop solitons, periodic cusp waves, pseudopeakon solitons, smooth periodic waves and smooth solitons. Moreover, we provided some numerical simulations of these solutions.
JUNJUN XIAO1 DAHE FENG 1 2 XIA MENG1 YUANQUAN CHENG1
Volume 96, 2022
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