Soliton Solutions and Other Solutions for Kundu–Eckhaus Equation with Quintic Nonlinearity and Raman Effect Using the Improved Modified Extended Tanh-Function Method

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 so...

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Bibliographic Details
Published in:Mathematics (Basel) 2022-11, Vol.10 (22), p.4203
Main Authors: Ahmed, Karim K., Badra, Niveen M., Ahmed, Hamdy M., Rabie, Wafaa B.
Format: Article
Language:English
Subjects:
Algebra
Analysis
improved modified extended tanh-function method
Kundu–Eckhaus equation
Nonlinear theories
Nonlinearity
optical solitons
Ordinary differential equations
Partial differential equations
Propagation
Raman effect
Solitary waves
Solitons
Tangents (Geometry)
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Summary: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10224203