Dynamical behavior of nonlinear Schrodinger equation in modulated compressional dispersive Alfven waves

Modulated compressional dispersive Alfvén waves find diverse applications within the field of plasma physics. Alfvén waves are a form of plasma waves in which ions oscillate under the influence of a restoring force generated by the tension in the magnetic field lines. This manuscript aims to apply a specific integration scheme to generate various optical solitons for the presented model, thereby minimizing experimental time and costs. In this article, the nonlinear Schrödinger equation, which depicts the dynamics of the modulated compressional dispersive Alfvén envelope model in (1+1)-dimensions, is explored, and new closed-form solutions are investigated. An appropriate wave transformation is utilized to turn the governing equation into an ordinary differential equation. The extended sinh-Gordon equation expansion and modified auxiliary equation procedures are implemented on the investigated model to get optical solitons and other solitary wave solutions. By using the execution of these techniques, rational, trigonometric, and hyperbolic function solutions are obtained. Stability analysis via modulation instability is also carried out in the paper. The physical interpretation of these closed-form solutions have been analyzed by constructing the graphical representations. Some selected solutions are depicted through two- and three-dimensional graphs to demonstrate the behavior of these solutions. The graphs present dark soliton, bright soliton, and periodic wave solutions. The acquired results are novel and confirm that the proposed techniques are reliable, efficient, and useful tools for addressing complex phenomena in engineering, mathematical physics, and optical fiber.