New Exact Solutions to the Nonlinear Zoomeron Equation with Local Conformable Time-Fractional Derivative  

作　　者：Chunlei HE Shoujun HUANG Chunping XIA Yangyang XU 

机构地区：[1]School of Mathematics and Statistics,Anhui Normal University,Anhui 241002,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2020年第3期287-296,共10页数学研究及应用（英文版）

基　　金：the National Natural Science Foundation of China(Grant No.11301006);the Natural Science Foundation of Anhui Province(Grant No.1408085MA01).

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.The bifurcation and phase portrait analysis of traveling wave solutions of the nonlinear Zoomeron equation are investigated.Moreover,by utilizing the exp(-■(ε))-expansion method and the rst integral method,we obtained various exact analytical traveling wave solutions to the Zoomeron equation such as solitary wave,breaking wave and periodic wave.

关 键 词：conformable fractional derivative Zoomeron equation traveling wave solution BIFURCATION 

分 类 号：O175.29[理学—数学]