Kadomtsev-Petviashvili equation in Relativistic Fluid Dynamics
D. A. Foga\c{c}a, F. S. Navarra, L. G. Ferreira Filho
TL;DR
This paper derives KP equations within relativistic fluid dynamics to model perturbations in quark-gluon plasma, providing analytical solitary wave solutions and extending the understanding of nonlinear wave behavior in high-energy physics.
Contribution
It introduces a method to derive KP equations in relativistic fluids and presents analytical solitary wave solutions relevant to quark-gluon plasma dynamics.
Findings
Derivation of cylindrical and Cartesian KP equations in relativistic fluid context.
Analytical solitary wave solutions for these KP equations.
Application to perturbations in strongly interacting quark-gluon plasma.
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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