一类完整Coriolis力作用下的高阶非线性Schrödinger方程的推导

Abstract

Abstract:

In this paper, based on the barotropic potential vorticity equation with complete Coriolis force, a new higher order nonlinear Schrödinger equation is derived by using perturbation expansion method to describe nonlinear modulated Rossby waves in the geophysical fluid. From this equation, the modulational wave trains are discussed. It is found that the horizontal component term of Coriolis force and the topography term has an effect on the uniform Rossby wave trains and the instability region have changed. In addition, the uniform background basic flow does affect the modulational instability of solitary Rossby wave train.

Key words: Complete Coriolis force, Rossby waves, Higher order nonlinear Schrödinger equation, Modulational disturbances

CLC Number:

P315

Danni Wang,Hongli Yang,Liangui Yang. Derivation of a Higher Order Nonlinear Schrödinger Equation with Complete Coriolis Force[J].Acta mathematica scientia,Series A, 2018, 38(5): 883-892.

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References 34

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Derivation of a Higher Order Nonlinear Schrödinger Equation with Complete Coriolis Force

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