中国物理B ›› 2019, Vol. 28 ›› Issue (1): 10201-010201.doi: 10.1088/1674-1056/28/1/010201
• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 下一篇
A nonlocal Burgers equation in atmospheric dynamical system and its exact solutions
Xi-Zhong Liu(刘希忠), Jun Yu(俞军), Zhi-Mei Lou(楼智美), Xian-Min Qian(钱贤民)
- 1 Institute of Nonlinear Science, Shaoxing University, Shaoxing 312000, China;
2 Yuanpei College, Shaoxing University, Shaoxing 312000, China
A nonlocal Burgers equation in atmospheric dynamical system and its exact solutions
Xi-Zhong Liu(刘希忠)1, Jun Yu(俞军)1, Zhi-Mei Lou(楼智美)1, Xian-Min Qian(钱贤民)2
- 1 Institute of Nonlinear Science, Shaoxing University, Shaoxing 312000, China;
2 Yuanpei College, Shaoxing University, Shaoxing 312000, China
摘要：
From a two-vortex interaction model in atmospheric and oceanic systems, a nonlocal counterpart with shifted parity and delayed time reversal is derived by a simple AB reduction. To obtain some approximate analytic solutions of this nonlocal system, the multi-scale expansion method is applied to get an AB-Burgers system. Various exact solutions of the AB-Burgers equation, including elliptic periodic waves, kink waves and solitary waves, are obtained and shown graphically. To show the applications of these solutions in describing correlated events, a simple approximate solution for the two-vortex interaction model is given to show two correlated dipole blocking events at two different places. Furthermore, symmetry reduction solutions of the nonlocal AB-Burgers equation are also given by using the standard Lie symmetry method.
中图分类号: (Partial differential equations)
- 02.30.Jr