The Interaction of Solitary Waves in Two-Fluid Magnetohydrodynamics in a Longitudinal Magnetic Field

The article examines analytically and numerically the interactions of solitary waves in two-fluid magnetohydrodynamics (MHD). We consider the most general case of waves in a cold plasma in a longitudinal magnetic field. The main feature of this work is the use of "exact" equations, rather than an approximate approach (the model equations). We have numerically studied the solutions of a system of 8 partial differential equations. Findings of the research show that the solitary waves interact with great precision as the solitons, i. e. solitary waves being the solutions to various model equations. The considered solitary waves transfer dense, strongly magnetized plasmoids with velocities of the Alfven velocity order. As the main difference method for solving the system of equations we used the natural generalization of the classical two-step Lax - Wendroff difference scheme for hyperbolic equation.

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