DAHE FENG
Articles written in Pramana – Journal of Physics
Volume 88 Issue 1 January 2017 Article ID 0017 Regular
Dynamical behaviours and exact travelling wave solutions of modified generalized Vakhnenko equation
JUNJUN XIAO DAHE FENG XIA MENG YUANQUAN CHENG
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.
Volume 96, 2022
All articles
Continuous Article Publishing mode
Click here for Editorial Note on CAP Mode
© 2021-2022 Indian Academy of Sciences, Bengaluru.