Optical Soliton Solutions of the Generalized Sine-Gordon Equation Article Swipe

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Elliptic function Jacobi elliptic functions sine-Gordon equation Mathematics Quarter period Mathematical analysis Nonlinear system Elliptic curve Elliptic rational functions Elliptic integral Soliton Elliptic partial differential equation Partial differential equation Differential equation Ordinary differential equation Physics Quantum mechanics

Yusuf Pandır , Humaira Yasmin ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.61383/ejam.20231239 · OA: W4387433975

In this study, the extended trial equation method based on the general form of the nonlinear elliptic ordinary differential equation isemployed to solve the nonlinear generalized sine-Gordon equations. By using this method, we achieve, unlike new types of exact wave solutions such as Elliptic-F, Elliptic-E, and Elliptic-Π functions that are known as elliptic integrals.