Soliton Solutions of High-order Nonlinear Schrödinger Equations with Different Laws of Nonlinearities
K. Hosseini, Mashaallah Matinfar, Mohammad Mirzazadeh
Abstract
In the present paper, high-order nonlinear Schrödinger equations in non-Kerr law media with different laws of nonlinearities are studied. In this respect, after considering a complex envelope and distinguishing the real and imaginary portions of the models, describing the propagation of solitons through nonlinear optical fibers, their soliton solutions are obtained using the well-organized new Kudryashov method. It is believed that the new Kudryashov method provides an effective mathematical tool to look for soliton solutions of high-order nonlinear Schrödinger equations.
Topics & Concepts
SolitonNonlinear systemEnvelope (radar)Order (exchange)Schrödinger's catPhysicsNonlinear Schrödinger equationScheme (mathematics)Applied mathematicsLawMathematicsMathematical analysisMathematical physicsComputer scienceQuantum mechanicsTelecommunicationsFinanceRadarEconomicsPolitical scienceNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies