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

详细信息    查看全文

• 作者：JUNJUN XIAO ; DAHE FENG ; XIA MENG ; YUANQUAN CHENG
• 关键词：Modified generalized Vakhnenko equation ; cusped solitons ; loop solitons ; periodic cusp wave solutions ; smooth periodic wave solutions ; pseudopeakon solitons ; smooth soliton solutions
• 刊名：Pramana
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：88
• 期：1
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics, general; Astronomy, Observations and Techniques; Astrophysics and Astroparticles;
• 出版者：Springer India
• ISSN：0973-7111
• 卷排序：88

文摘

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.