Conditionally invariant solutions of the rotating shallow water wave equations

Huard, Benoit (2010) Conditionally invariant solutions of the rotating shallow water wave equations. Journal of Physics A: Mathematical and Theoretical, 43 (23). p. 235205. ISSN 1751-8113

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Official URL: http://dx.doi.org/10.1088/1751-8113/43/23/235205

Abstract

This paper is devoted to the extension of the recently proposed conditional symmetry method to first order nonhomogeneous quasilinear systems which are equivalent to homogeneous systems through a locally invertible point transformation. We perform a systematic analysis of the rank-1 and rank-2 solutions admitted by the shallow water wave equations in (2 + 1) dimensions and construct the corresponding solutions of the rotating shallow water wave equations. These solutions involve in general arbitrary functions depending on Riemann invariants, which allow us to construct new interesting classes of solutions.

Item Type: Article
Uncontrolled Keywords: fluid dynamics, mathematical physics, computational physics
Subjects: F300 Physics
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics and Information Sciences
Related URLs:
Depositing User: Benoit Huard
Date Deposited: 26 Mar 2013 13:57
Last Modified: 16 May 2017 09:05
URI: http://nrl.northumbria.ac.uk/id/eprint/11570

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