Nonlinear self-adjointness and invariant solutions of a 2D Rossby wave equation

• Autorzy: Rodica Cimpoiasu , Radu Constantinescu
• Języki publikacji: EN

Abstrakty

EN

The paper investigates the nonlinear self-adjointness of the nonlinear inviscid barotropic nondivergent vorticity equation in a beta-plane. It is a particular form of Rossby equation which does not possess variational structure and it is studied using a recently method developed by Ibragimov. The conservation laws associated with the infinite-dimensional symmetry Lie algebra models are constructed and analyzed. Based on this Lie algebra, some classes of similarity invariant solutions with nonconstant linear and nonlinear shears are obtained. It is also shown how one of the conservation laws generates a particular wave solution of this equation.

Słowa kluczowe

EN

nonlinear self-adjointness; Rossby waves; conservation laws; invariant solutions

• Czasopismo: Open Physics
• Rocznik: 2014
• Tom: 12
• Numer: 2
• Strony: 81-89

Daty

wydano

2014-02-01

online

2014-02-15

Twórcy

autor

Rodica Cimpoiasu

• University of Craiova, 13 A.I.Cuza, 200585, Craiova, Romania

autor

Radu Constantinescu

• University of Craiova, 13 A.I.Cuza, 200585, Craiova, Romania,

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Identyfikatory

DOI

10.2478/s11534-014-0430-6