Optical solitons and group invariants for Chen-Lee-Liu equation with time-dependent chromatic dispersion and nonlinearity by Lie symmetry
Ramesh Kumar, Ramesh Kumar, Anupma Bansal, Anjan Biswas, Yakup Yıldırım, Seithuti P. Moshokoa, A Asim Asiri
Abstract
This paper uses the classical Lie symmetry method for optical solitons to study the Chen-Lee-Liu equation.We are able to establish symmetries that convert the model into a set of ordinary differential equations and obtain solutions of the reduced equations through various methods.
Topics & Concepts
ChenSymmetry (geometry)Mathematical physicsPhysicsDispersion (optics)Nonlinear systemLie groupChromatic scaleSymmetry groupMathematical analysisQuantum mechanicsMathematicsOpticsPure mathematicsGeometryPaleontologyBiologyNonlinear Waves and SolitonsNonlinear Photonic SystemsAlgebraic structures and combinatorial models