Kadomtsev-Petviashvili equation in Relativistic Fluid Dynamics

Details Kadomtsev-Petviashvili equation in Relativistic Fluid Dynamics Kadomtsev-Petviashvili equation in Relativistic Fluid Dynamics

2012-02-09

arxiv.org/abs/1202.2137v1

Physics

Mathematical Physics

Scientific paper

The Kadomtsev-Petviashvili (KP) nonlinear wave equation is the three dimensional generalization of the Korteveg-de Vries (KdV) equation. We show how to obtain the cylindrical KP (cKP) and cartesian KP in relativistic fluid dynamics. The obtained KP equations describe the evolution of perturbations in the baryon density in a strongly interacting quark gluon plasma (sQGP) at zero temperature. We also show the analytical solitary wave solution for the KP equations in both cases.

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