Gap Solitons in Fiber Bragg Gratings Having Polynomial Law of Nonlinear Refractive Index and Cubic–Quartic Dispersive Reflectivity by Lie Symmetry
Sandeep Malik, Sachin Kumar, Anjan Biswas, Yakup Yıldırım, Luminița Moraru, Simona Moldovanu, Cătalina Iticescu, Seithuti P. Moshokoa, Dorin Bibicu, Abdulaziz Alotaibi
Abstract
The current paper recovers cubic–quartic optical solitons in fiber Bragg gratings having polynomial law of nonlinear refractive index structures. Lie symmetry analysis is carried out, starting with the basic analysis. Then, it is followed through with improved Kudryashov and generalized Arnous schemes. The parameter constraints are also identified for the existence of such solitons. Numerical surface plots support the adopted applied analysis.
Topics & Concepts
Quartic functionFiber Bragg gratingRefractive indexSymmetry (geometry)Cubic functionPolynomialNonlinear systemPhysicsOpticsQuintic functionMathematicsMathematical analysisOptical fiberLawQuantum mechanicsGeometryPure mathematicsPolitical scienceNonlinear Waves and SolitonsAdvanced Fiber Laser TechnologiesNonlinear Photonic Systems