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Novel analytical superposed nonlinear wave structures for the eighth-order (3+1)-dimensional Kac-Wakimoto equation using improved modified extended tanh function method
Published 2024-11-01“…In this work, we use the improved modified extended tanh function method for the first time to extract the exact solutions of the eighth-order (3+1)-dimensional Kac-Wakimoto equation, which describes the dynamics of fields and the structure of solutions in various physical and mathematical contexts. …”
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Influence of the $ \beta $-fractional derivative on optical soliton solutions of the pure-quartic nonlinear Schrödinger equation with weak nonlocality
Published 2025-03-01“…This study investigated the dynamics of a pure-quartic nonlinear Schrödinger equation incorporating a $ \beta $-fractional derivative and weak nonlocal effects prevalent in optical fiber systems. Using the improved modified extended tanh-function method, we obtained a diverse array of soliton solutions, including bright, dark, and singular solitons, as well as hyperbolic, trigonometric, and Jacobi elliptic solutions. …”
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Solitary Wave Solutions to a Fractional-Order Fokas Equation via the Improved Modified Extended Tanh-Function Approach
Published 2024-12-01“…This research employs the improved modified extended tanh-function technique to explore several solitary wave solutions to the fractional-order Fokas equation. …”
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Characterizing stochastic solitons behavior in (3+1)-dimensional Schrödinger equation with Cubic–Quintic nonlinearity using improved modified extended tanh-function scheme
Published 2024-12-01“…Several stochastic exact solutions of this model is acquired through the application of the improved modified extended tanh-function scheme (IMETFS). …”
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