期刊
NONLINEAR DYNAMICS
卷 92, 期 3, 页码 815-825出版社
SPRINGER
DOI: 10.1007/s11071-018-4092-6
关键词
Nonlocal NLS equation; Shifted parity; Delayed time reversal; Modulational instability; Periodic waves
资金
- National Natural Science Foundation of China [11675055, 11475052]
- Shanghai Knowledge Service Platform for Trustworthy Internet of Things [ZF1213]
A general nonlocal nonlinear Schrodinger equation with shifted parity, charge-conjugate and delayed time reversal is derived from the nonlinear inviscid dissipative and equivalent barotropic vorticity equation in a -plane. The modulational instability (MI) of the obtained system is studied, which reveals a number of possibilities for the MI regions due to the generalized dispersion relation that relates the frequency and wavenumber of the modulating perturbations. Exact periodic solutions in terms of Jacobi elliptic functions are obtained, which, in the limit of the modulus approaches unity, reduce to soliton, kink solutions and their linear superpositions. Representative profiles of different nonlinear wave excitations are displayed graphically. These solutions can be used to model different blocking events in climate disasters. As an illustration, a special approximate solution is given to describe a kind of two correlated dipole blocking events.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据