A(2+1)-dimensional nonlinear model for Rossby waves in stratified fluids and its solitary solution  

作　　者：Li-Guo Chen Lian-Gui Yang Rui-Gang Zhang Quan-Sheng Liu Ji-Feng Cui 陈利国;杨联贵;张瑞岗;刘全生;崔继峰(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China;School of Statistics and Mathematics,Inner Mongolia University of Finance and Economics,Hohhot 010070,China;College of Science,Inner Mongolia University of Technology,Hohhot 01005l,China)

机构地区：[1]School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China [2]School of Statistics and Mathematics,Inner Mongolia University of Finance and Economics,Hohhot 010070,China [3]College of Science,Inner Mongolia University of Technology,Hohhot 01005l,China

出　　处：《Communications in Theoretical Physics》2020年第4期29-36,共8页理论物理通讯（英文版）

摘　　要：In this paper,we investigate a(2+1)-dimensional nonlinear equation model for Rossby waves in stratified fluids.We derive a forced Zakharov–Kuznetsov(ZK)–Burgers equation from the quasigeostrophic potential vorticity equation with dissipation and topography under the generalized beta effect,and by utilizing temporal and spatial multiple scale transform and the perturbation expansion method.Through the analysis of this model,it is found that the generalized beta effect and basic topography can induce nonlinear waves,and slowly varying topography is an external impact factor for Rossby waves.Additionally,the conservation laws for the mass and energy of solitary waves are analyzed.Eventually,the solitary wave solutions of the forced ZK–Burgers equation are obtained by the simplest equation method as well as the new modified ansatz method.Based on the solitary wave solutions obtained,we discuss the effects of dissipation and slowly varying topography on Rossby solitary waves.

关 键 词：ROSSBY SOLITARY waves dissipation topography forced ZK–Burgers EQUATION simplest EQUATION METHOD modified ANSATZ METHOD 

分 类 号：O411[理学—理论物理]