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Abstract: This paper is devoted to the extension of the recently proposed conditionalsymmetry method to first order nonhomogeneous quasilinear systems which areequivalent to homogeneous systems through a locally invertible pointtransformation. We perform a systematic analysis of the rank-1 and rank-2solutions admitted by the shallow water wave equations in 2 + 1 dimensionsand construct the corresponding solutions of the rotating shallow water waveequations. These solutions involve in general arbitrary functions depending onRiemann invariants, which allow us to construct new interesting classes ofsolutions.



Autor: Benoit Huard

Fuente: https://arxiv.org/



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