Abstract
In this work, well-known methods of solving nonlinear partial differential equations have been used to study steady plane magneto-gas-dynamic orthogonal, aligned, and transverse flow problems when the velocity magnitude is constant on each individual streamline. In the study of the orthogonal case, Monge's method for solving second-order nonlinear partial differential equations is used. The hodograph and Charpits' methods are applied in the other two cases of aligned and transverse flows to investigate the geometries and solutions for the flow problems.
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