Hausdorff fractal system arising in the field of plasma physics via variational technology

Solitons and fractals are the two most significant features of all areas of science and engineering, like optics, condensed matter, plasma physics, and fluid dynamics. This article outlines a time space fractal Hausdorff coupled non-linear Drinfeld-Sokolov model in the field of plasma physics. The diversity of new solitary wave solutions for the suggested model is achieved utilizing a variational approach. Constraint conditions by variance principle occur within the requirements of the soliton solutions. The 3D, 2D, and contour graphs for the received solutions are displayed within the set of acceptable parameter values. The solution mechanism shows that the approach to fractal problems is clear and straightforward. The variational approach is a modern strategy for fractal structures that is useful in current fields of study in mathematics and physics for other kinds of nonlinear evolution equations.

Automated summary

This article introduces a time space fractal Hausdorff coupled non-linear Drinfeld-Sokolov model in the field of plasma physics and obtains new solitary wave solutions using a variational approach. The results show that the approach to fractal problems is clear and straightforward. The variational approach has significant applications in studying fractal structures of other nonlinear evolution equations in mathematics and physics.