标题：A new model for algebraic Rossby solitary waves in rotation fluid and its solution
作者：Chen Yao-Deng; Yang Hong-Wei; Gao Yu-Fang; Yin Bao-Shu; Feng Xing-Ru
作者机构：[Chen Yao-Deng; Gao Yu-Fang] Nanjing Univ Informat Sci & Technol, Key Lab Meteorol Disaster, Minist Educ, Nanjing 210044, Peoples R China.; [Chen Ya 更多
通讯作者地址：[Yang, HW]Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China.
来源：CHINESE PHYSICS B
关键词：generalized Boussinesq equation; algebraic Rossby solitary waves;; dissipation effect; solitary waves fission
摘要：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.