The patterns of traveling wave on shallow water modeled by Green-Naghdi equation

MATEC Web of Conferences

Wei Haitong¹ 

[1] Department of Mathematics, Northeast Petroleum University;

关键词: green-naghdi equations;    soliton;    shallow water waves;    trial equation method;   

DOI  :  10.1051/matecconf/202235502005

来源: DOAJ

【 摘 要 】

The Green-Naghdi equations are a shallow water waves model which play important roles in nonlinear wave fields. By using the trial equation method and the Complete discrimination system for the polynomial we obtained the classification of travelling wave patterns. Among those patterns, new singular patterns and double periodic patterns are obtained in the first time. And we draw the graphs which help us to understand the dynamics behaviors of the Green-Naghdi model intuitionally.

【 授权许可】

Unknown