Numerical Simulation of Cubic-Quartic Optical Solitons with Perturbed Fokas–Lenells Equation Using Improved Adomian Decomposition Algorithm
A. A. AlQarni, H. O. Bakodah, A.A. Alshaery, Anjan Biswas, Yakup Yıldırım, Luminița Moraru, Simona Moldovanu
Abstract
The current manuscript displays elegant numerical results for cubic-quartic optical solitons associated with the perturbed Fokas–Lenells equations. To do so, we devise a generalized iterative method for the model using the improved Adomian decomposition method (ADM) and further seek validation from certain well-known results in the literature. As proven, the proposed scheme is efficient and possess a high level of accuracy.
Topics & Concepts
Quartic functionAdomian decomposition methodScheme (mathematics)MathematicsDecompositionCubic functionCurrent (fluid)AlgorithmApplied mathematicsMathematical analysisPhysicsPartial differential equationPure mathematicsBiologyEcologyThermodynamicsNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Topics in Algebra