Dynamical survey of a generalized-Zakharov equation and its exact travelling wave solutions

作者：Betchewe Gambo^*; Thomas Bouetou Bouetou; Victor Kuetche Kamgang; Crepin Kofane Timoleon

来源：Applied Mathematics and Computation, 2010, 217(1): 203-211.

DOI：10.1016/j.amc.2010.05.044

• Dynamical behavior
• Generalized-Zakharov equation
• Bifurcations
• Phase portraits
• Travelling waves

We investigate the dynamical behavior of a generalized-Zakharov equation for the complex envelope of the high-frequency wave and the real low-frequency field by analyzing its phase portraits. Following a dynamical system approach, in different parameter regions, we depict phase portraits of a travelling wave system. Through discussing the bifurcation of phase portraits, we unwrap explicit miscellaneous travelling waves including localized and periodic ones.

• 出版日期2010-9-1