New exact solutions to the nonlinear Zoomeron equation with local conformable time-fractional derivative
Received:February 07, 2019  Revised:June 15, 2019
Key Word: Conformable fractional derivative   Zoomeron equation   Traveling wave solution   Bifurcation.  
Fund ProjectL:National Natural Science Foundation of China (Grant No. 11301006; the Anhui Provincial Natural Science Foundation (Grant No. 1408085MA01)
Author NameAffiliationE-mail
Chunlei He Anhui Normal University 
Shoujun Huang Anhui Normal University 
Chunping Xia Anhui Normal University  
Yangyang Xu Anhui Normal University  
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      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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