Dynamical behaviours and exact travelling wave solutions of modified generalized Vakhnenko equation

作者：Xiao, Junjun^*; Feng, Dahe; Meng, Xia; Cheng, Yuanquan

来源：Pramana - Journal of Physics, 2017, 88(1): 17.

DOI：10.1007/s12043-016-1321-8

• Modified generalized Vakhnenko equation
• cusped solitons
• loop solitons
• periodic cusp wave solutions
• smooth periodic wave solutions
• pseudopeakon solitons
• smooth soliton solutions

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.

• 出版日期2017-1
• 单位贵州财经大学; 桂林电子科技大学