摘要
主要研究(1+1)维Whitham-Broer-Kaup(WBK)方程的分岔与行波解,根据动力系统的定性理论和分支方法,找到了WBK方程的行波解并揭示了两种分岔现象.第1种是扭波和反扭波可以由钟形孤立波、峡谷形孤立波和爆破波分岔得到;第2种是爆破周期波可以由周期波分岔得到.
The bifurcation and traveling wave solution of(1+1)-dimensional Whitham-Broer-Kaup(WBK) equation was studied. Some traveling wave solutions of the WBK equation were found and two bifurcation phenomena were revealed according to the qualitative theory and branching method of the dynamic system. First, kink wave and the anti-kink wave are bifurcated from the bell-shaped solitary wave, blow-up wave and valley-shape solitary wave. Second, periodic blow-up wave and trivial wave are bifurcated from the periodic wave.
作者
韩青秀
刘红霞
伍芸
HAN Qingxiu;LIU Hongxia;WU Yun(School of Mathematics Science,Guizhou Normal University,Guiyang 550025,China)
出处
《昆明理工大学学报（自然科学版）》
北大核心
2022年第4期175-182,共8页
Journal of Kunming University of Science and Technology(Natural Science)
基金
国家自然科学基金项目(12161019)。
