Kadomtsev-Petviashvili equation in Relativistic Fluid Dynamics
arXiv:1202.2137 · doi:10.1016/j.cnsns.2012.07.006
Abstract
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 of the KP equations in both cases.
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- Bubble dynamics and the quark-hadron phase transition in nuclear collisions
- Viscosity, wave damping and shock wave formation in cold hadronic matter
- Evolution of non-stationary pulses in a cold magnetized quark-gluon plasma
- Waves in magnetized quark matter
- Nonlinear waves in magnetized quark matter and the reduced Ostrovsky equation