Investigation of different wave structures to the generalized third-order nonlinear Scrödinger equation
K. Hosseini, M.S. Osman, Mohammad Mirzazadeh, Faranak Rabiei
Abstract
The present paper explores the generalized third-order nonlinear Schrödinger (GTONLS) equation which is used to model ultra-short pulses in optical fibers . The analysis is carried out systematically by adopting a complex transformation for reducing the GTONLS equation to a couple of nonlinear ordinary differential equations (NLODEs) with specific conditions such that the resulting NLODEs can be solved through the use of well-designed techniques such as the exp a -function and unified methods. As an outcome, different wave structures including dark and bright solitons as well as Jacobi elliptic solutions to the model are formally constructed.
Topics & Concepts
Nonlinear systemNonlinear Schrödinger equationTransformation (genetics)Periodic waveOrdinary differential equationPartial differential equationPhysicsThird orderElliptic functionDifferential equationMathematical analysisApplied mathematicsMathematicsQuantum mechanicsChemistryBiochemistryTheologyPhilosophyGeneNonlinear Waves and SolitonsAdvanced Fiber Laser TechnologiesNonlinear Photonic Systems