Extension on bifurcations of traveling wave solutions for a two-component Fornberg-Whitham equation

来源 :第十一届泉州市科协年会暨福建省科协第十三届学术年会卫星会议 | 被引量 : 0次 | 上传用户:zhuyun
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  Fan et al.studied the bifurcations of traveling wave solutions for a two-component Fornberg-Whithamequation.They gave a part of possible phase portraits and obtained some uncertain parametric conditions for solitons and kink _antikink_ solutions.However, the exact explicit parametric conditions have not been given for the existence of solitons and kink _antikink_solutions.In this paper, we study the bifurcations for the two-component Fornberg-Whithamequation in detalis,present all possible phase portraits, and give the exact explicit parametric conditions for various solutions.In addition, not only solitons and kink _antikink_ solutions, but also peakons and periodic cusp waves are obtained.Our results extend the previous study.
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