New groups of solutions to the Whitham-Broer-Kaup equation

• 作者: Hang XU Q.SUN Yaji WANG
• 来源期刊: 应用数学和力学（英文版）
• 学科: 物理学
• 年，卷（期）: 2020,（11）
• 页码范围: 1735-1746
• 页数: 12页
• 分类号: O53
• 语种: 英文

摘要

The Whitham-Broer-Kaup model is widely used to study the tsunami waves.The classical Whitham-Broer-Kaup equations are re-investigated in detail by the generalized projective Riccati-equation method.20 sets of solutions are obtained of which,to the best of the authors' knowledge,some have not been reported in literature.Bifurcation analysis of the planar dynamical systems is then used to show different phase portraits of the traveling wave solutions under various parametric conditions.