Optical Solutions of Schrödinger Equation Using Extended Sinh–Gordon Equation Expansion Method
Amna Irshad, Naveed Ahmed, Umar Khan, Syed Tauseef Mohyud‐Din, Ilyas Khan, El‐Sayed M. Sherif
Abstract
In this paper, we investigated the non-linear Schrdinger equation (NLS) to extract optical soliton solutions by implementing the extended Sinh-Gordon equation expansion method (ShGEEM). Optical soliton solutions included bright, dark, combined bright-dark, singular soliton combined singular soliton solutions, and singular periodic wave solutions. Our new results have been compared to these in the literature. Also, graphical analysis was presented with 3D and contour graphs to understand the physics of obtained solutions.
Topics & Concepts
SolitonPeriodic waveNonlinear Schrödinger equationHyperbolic functionNonlinear systemMathematical physicsMathematical analysisTraveling wavePhysicsMathematicsSchrödinger equationQuantum mechanicsNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies