非线性(2+1)维Zakharov-Kuznetsov方程及其孤立波解

尹晓军; 杨联贵; 刘全生; 张瑞岗

ScienceGate Book Chapters

JOURNAL ARTICLE

非线性(2+1)维Zakharov-Kuznetsov方程及其孤立波解

尹晓军杨联贵刘全生张瑞岗

Year: 2018 Journal: 云南大学学报(自然科学版) Vol: 40 (4)Pages: 619-624

Get Full-Text PDF Get Analytical Report

Abstract

在正压流体中,利用摄动方法从描写既有Coriolis力垂直分量又含有水平分量的位涡方程出发,推导了近赤道非线性Rossby波振幅的演变所满足的非线性(2+1)维Zakharov-Kuznetsov(ZK)方程,并利用Jacobi椭圆函数展开法,求解了非线性Zakharov-Kuznetsov(ZK)方程的行波解及孤立波解.通过分析其方程的行波解及孤立波,表明Coriolis力的水平分量及β效应对Rossby波动产生一定的影响.

Keywords:

Mathematical economics Mathematics

Metrics

Cited By

0.00

FWCI (Field Weighted Citation Impact)

Refs

0.23

Citation Normalized Percentile

Is in top 1%

Is in top 10%

Topics

Geophysics and Gravity Measurements

Physical Sciences → Earth and Planetary Sciences → Oceanography

Fluid Dynamics and Turbulent Flows

Physical Sciences → Engineering → Computational Mechanics

Meteorological Phenomena and Simulations

Physical Sciences → Earth and Planetary Sciences → Atmospheric Science

非线性(2+1)维Zakharov-Kuznetsov方程及其孤立波解

Abstract

Metrics

Topics

Related Documents

非线性波方程的精确孤立波解

强非线性波动方程孤子行波解

(3+1)维时间分数阶KdV-Zakharov-Kuznetsov方程的分支分析及其行波解

应用Riccati-Bernoulli辅助方程求解广义非线性Schrodinger方程和(2+1)维非线性Ginzburg-Landau方程

构造非线性发展方程孤波解的混合指数方法