ONE-DIMENSIONAL WEAKLY NONLINEAR MODEL EQUATIONS FOR ROSSBY WAVES

被引：10

作者：

Henry, David ^{[1
]}

Ivanov, Rossen ^{[2
]}

机构：

[1] Univ Coll, Sch Math Sci, Cork, Ireland

[2] Dublin Inst Technol, Sch Math Sci, Dublin 8, Ireland

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2014年 / 34卷 / 08期

关键词：

Rossby waves; KdV equation; BBM equation; Degasperis-Procesi quation; Camassa-Holm equation; nonlinear waves; long waves; solitons; COMPACTLY SUPPORTED SOLUTIONS; INVERSE SCATTERING TRANSFORM; SHALLOW-WATER EQUATION; CAMASSA-HOLM EQUATION; PROPAGATION SPEED; TRAJECTORIES; STABILITY; FAMILY;

D O I：

10.3934/dcds.2014.34.3025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study we explore several possibilities for modelling weakly nonlinear Rossby waves in fluid of constant depth, which propagate predominantly in one direction. The model equations obtained include the BBM equation, as well as the integrable KdV and Degasperis-Procesi equations.

引用

页码：3025 / 3034

页数：10

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