Optical Soliton Solutions of the Generalized Sine-Gordon Equation
Yusuf Pandır, Humaira Yasmin
Abstract
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.
Topics & Concepts
Elliptic functionJacobi elliptic functionssine-Gordon equationMathematicsQuarter periodMathematical analysisNonlinear systemElliptic curveElliptic rational functionsElliptic integralSolitonElliptic partial differential equationPartial differential equationDifferential equationOrdinary differential equationPhysicsQuantum mechanicsNonlinear Waves and SolitonsNonlinear Photonic SystemsAlgebraic structures and combinatorial models