New exact solutions to the nonlinear Zoomeron equation with local conformable time-fractional derivative
New exact solutions to the nonlinear Zoomeron equation with local conformable time-fractional derivative
投稿时间:2019-02-07  修订日期:2019-06-15
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中文关键词:  
英文关键词:Conformable fractional derivative  Zoomeron equation  Traveling wave solution  Bifurcation.
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作者单位E-mail
何春蕾 安徽师范大学 数学与统计学院 clhe@ahnu.edu.cn 
黄守军 安徽师范大学 数学与统计学院 sjhuang@ahnu.edu.cn 
夏春萍 安徽师范大学 数学与统计学院  
徐洋洋 安徽师范大学 数学与统计学院  
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中文摘要:
      
英文摘要:
      In this paper, we are concerned with the nonlinear Zoomeron equation with local conformable time-fractional derivative. The concept of local conformable fractional derivative was newly proposed by R. Khalil et al [14]. The bifurcation and phase portrait analysis of traveling wave solutions of the nonlinear Zoomeron equation are investigated. Moreover, by utilizing the $\text{exp}(-\phi(\varepsilon))$-expansion method and the first integral method, we obtained various exact analytical traveling wave solutions to the Zoomeron equation such as solitary wave, breaking wave and periodic wave.
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