Soliton Solutions and Other Solutions for Kundu–Eckhaus Equation with Quintic Nonlinearity and Raman Effect Using the Improved Modified Extended Tanh-Function Method
Karim K. Ahmed, Niveen Badra, Hamdy M. Ahmed, Wafaa B. Rabie
Abstract
Our paper studies the optical solitons for the Kundu–Eckhaus (KE) equation with quintic nonlinearity and Raman effect. By applying the improved modified extended tanh-function method, many soliton solutions can be obtained such as bright soliton solutions, dark soliton solutions, and the singular soliton solution. In addition, we can obtain various types of solutions, namely, singular periodic solutions, exponential solutions, rational solutions, Jacobi elliptic solutions and Weierstrass elliptic doubly periodic solutions. Moreover, some selected solutions are illustrated graphically to show the physical nature and the characteristics of the obtained solutions.
Topics & Concepts
SolitonElliptic functionHyperbolic functionQuintic functionMathematical analysisExponential functionNonlinear systemMathematicsPeriodic waveFunction (biology)PhysicsTraveling waveQuantum mechanicsEvolutionary biologyBiologyNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions