Lie symmetry analysis of cubic–quartic optical solitons having cubic–quintic–septic–nonic form of self-phase modulation structure
Akshat Kukkar, Sachin Kumar, Sandeep Malik, Muhammad Amin S. Murad, Ahmed H. Arnous, Anjan Biswas, Yakup Yıldırım, Ali Saleh Alshomrani
Abstract
Abstract The present study examines optical solitons characterized by cubic–quartic dynamics and featuring a self-phase modulation structure encompassing cubic, quintic, septal, and nonic terms. Soliton solutions are obtained through Lie symmetry analysis, followed by integration of the resulting ordinary differential equations using Kudryashov’s auxiliary equation method and a hyperbolic function approach. A comprehensive range of optical soliton solutions has been recovered, alongside the revelation of their criteria for existence.
Topics & Concepts
Quintic functionQuartic functionSymmetry (geometry)PhysicsMathematical physicsCubic crystal systemPhase (matter)Quantum mechanicsMathematicsQuantum electrodynamicsCondensed matter physicsGeometryPure mathematicsNonlinear systemNonlinear Waves and SolitonsAdvanced Fiber Laser TechnologiesNonlinear Photonic Systems