Highly Dispersive Optical Solitons in the Absence of Self-Phase Modulation by Lie Symmetry
Sandeep Malik, Sachin Kumar, Anjan Biswas, Yakup Yıldırım, Luminița Moraru, Simona Moldovanu, Cătalina Iticescu, Abdulaziz Alotaibi
Abstract
The paper revisits highly dispersive optical solitons that are addressed by the aid of Lie symmetry followed by the implementation of the Riccati equation approach and the improved modified extended tanh-function approach. The soliton solutions are recovered and classified. The conservation laws are also recovered and the corresponding conserved quantities are enlisted.
Topics & Concepts
Symmetry (geometry)SolitonConservation lawPhysicsRiccati equationPhase functionHyperbolic functionFunction (biology)Mathematical physicsPhase (matter)Lie groupModulation (music)MathematicsMathematical analysisOpticsQuantum mechanicsPartial differential equationPure mathematicsGeometryNonlinear systemScatteringBiologyEvolutionary biologyAcousticsNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies