Abstract
Influence of weak dissipation on the simple waves in relativistic magnetohydrodynamic fluid (MHD fluid) is considered. By means of the method of asymptotic expansions, a relativistic analogue of MHD Burgers equation is derived. It is reduced to the non-relativistic MHD Burgers equation in the classical limit. Relativistic and magnetic effect on the thickness of the shock are examined. Dependence of the thickness on the external magnetic field is illustrated in both the classical and ultrarelativistic limit.
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