Exploration of new solitons in optical medium with higher-order dispersive and nonlinear effects via improved modified extended tanh function method
Ola El-Shamy, Reda El-barkoki, Hamdy M. Ahmed, W. Abbas, Islam Samir
Abstract
Throughout this article, the improved modified extended tanh function method is presented for deriving fresh travelling wave alternative solutions in different forms of nonlinear Schrödinger equation (NLSE) with higher-order dispersive and nonlinear effects that describes the propagation of ultra-short optical solitons in an optical fiber medium. For this model, we have a variety of new solutions, including solitons (bright, dark and singular), exponential, singular periodic and Jacobi elliptic solutions. Graphical representations of selected solutions are provided to demonstrate the physical properties of the raised solutions.
Topics & Concepts
Hyperbolic functionNonlinear systemExponential functionSolitonFunction (biology)Elliptic functionOrder (exchange)Mathematical analysisMathematicsNonlinear Schrödinger equationApplied mathematicsPhysicsSchrödinger equationQuantum mechanicsEconomicsEvolutionary biologyBiologyFinanceNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies