Dynamics on New Wave Shapes of the Landau-Ginzburg-Higgs Equation Using a New Extended Hyperbolic Function Method

In this study, we aim to explore the nonlinear Landau-Ginzburg-Higgs equation for coherent ion-cyclotron waves, which also accounts for superconductivity and drift cyclotron waves in radially inhomogeneous plasma [1]. The search for new soliton solutions of this equation using a new extended hyperbolic function approach is the topic of attention. This technique yields a wide range of new exact solutions that may be useful in plasma physics, nonlinear optics, and fluid dynamics. Some of the acquired solutions under suitable conditions are shown via 2D and 3D plots to aid physical comprehension and realize our developed solutions better.