My main research focus is about the general procedure to solve the General Relativistic Hydrodynamic (GRH) equations with Adaptive-Mesh Refinement (AMR)

and model of an accretion disk dynamics around the non-rotating and the rotating black holes in the presence of General and Einstein-Gauss-Bonnet gravities.

In addition to my main research focus, I am also solving the nonlinear partial differential equations to extract the properties of the solitary waves observed in the

laboratory and astrophysical plasmas. This wave is a wave which propagates without any temporal evolution in shape or size when viewed in the reference frame

moving with the group velocity of the wave. Currently, I am also working on one of the mysteries of our universe called dark matter particles.  Unlike normal matter,

dark matter does not interact with the electromagnetic force.