Optical Solitons with Kudryashov’s Equation by Lie Symmetry Analysis
Sachin Kumar, Sandeep Malik, Anjan Biswas, Qin Zhou, Luminița Moraru, Abdullah Kamis Alzahrani, Milivoj R. Belić
Abstract
In this work, Kudryashov’s equation is studied with Lie symmetry analysis, which is implemented to describe the propagation pulses in an optical fiber. The equation is converted into system of ordinary differential equations with similarity transformations. These gave way to bright, dark and singular optical soliton solutions to the model.
Topics & Concepts
Symmetry (geometry)SolitonPhysicsSimilarity (geometry)Ordinary differential equationWork (physics)Differential equationMathematical physicsMathematicsComputer scienceQuantum mechanicsNonlinear systemGeometryArtificial intelligenceImage (mathematics)Nonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies