A new model for algebraic Rossby solitary waves in rotation fluid and its solution

• Published in: Chinese physics B Vol. 24; no. 9; pp. 54 - 61
• Main Author: 陈耀登 杨红卫 高玉芳 尹宝树 冯兴如
• Format: Journal Article
• Language: English
• Published: 01.09.2015
• Subjects: Algebra; Boussinesq equations; Dissipation; Fluid flow; Mathematical analysis; Mathematical models; Solitary waves; Wave propagation; 代数; 分裂现象; 孤立波; 广义Boussinesq方程; 旋转流体; 模型; 求解; 耗散效应
• ISSN: 1674-1056; 2058-3834; 1741-4199
• DOI: 10.1088/1674-1056/24/9/090205

A generalized Boussinesq equation that includes the dissipation effect is derived to describe a kind of algebraic Rossby solitary waves in a rotating fluid by employing perturbation expansions and stretching transformations of time and space.Using this equation, the conservation laws of algebraic Rossby solitary waves are discussed. It is found that the mass, the momentum, the energy, and the velocity of center of gravity of the algebraic solitary waves are conserved in the propagation process. Finally, the analytical solution of the equation is generated. Based on the analytical solution, the properties of the algebraic solitary waves and the dissipation effect are discussed. The results point out that, similar to classic solitary waves,the dissipation can cause the amplitude and the speed of solitary waves to decrease; however, unlike classic solitary waves,the algebraic solitary waves can split during propagation and the decrease of the detuning parameter can accelerate the occurrence of the solitary waves fission phenomenon.