Exact solutions for the perturbed nonlinear Schrödinger equation with power law nonlinearity and Hamiltonian perturbed terms

In this paper, we apply four mathematical methods, namely, the sine–cosine method, the Jacobi elliptic equation method, the generalized Kudryashov method and the Riccati equation method for constructing many new exact solutions, the bright, dark, singular soliton solutions, the symmetrical hyperboli...

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Bibliographic Details
Published in:Optik (Stuttgart) Vol. 139; pp. 123 - 144
Main Authors: Zayed, Elsayed M.E., Al-Nowehy, Abdul-Ghani
Format: Journal Article
Language:English
Published: Elsevier GmbH 01.06.2017
Subjects:
35Q51
35Q55
37 K10
78A60
Bright, dark, singular soliton solutions
Exact solutions
Generalized Kudryashov method
Hyperbolic and trigonometric function solutions
Jacobi elliptic equation method
Nonlinear Schrödinger equation
Riccati equation method
Sine–cosine method
Jacobi elliptic equation method
37 K10
Bright, dark, singular soliton solutions
Exact solutions
35Q55
Sine–cosine method
Generalized Kudryashov method
Riccati equation method
78A60
Nonlinear Schrödinger equation
35Q51
Hyperbolic and trigonometric function solutions
ISSN:0030-4026, 1618-1336
Online Access:Get full text
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Summary:In this paper, we apply four mathematical methods, namely, the sine–cosine method, the Jacobi elliptic equation method, the generalized Kudryashov method and the Riccati equation method for constructing many new exact solutions, the bright, dark, singular soliton solutions, the symmetrical hyperbolic Fibonacci function solutions and the Jacobi elliptic function solutions with parameter of the perturbed nonlinear Schrödinger equation with power law nonlinearity and Hamiltonian perturbed terms. When the parameters take special values, the soliton and other solutions are derived from the exact solutions. The used methods in this paper present a wider applicability for handling nonlinear wave equations. Comparing our new results with the well-known results are given. Also, we compare between the results yielding from the above methods.
ISSN:0030-4026
1618-1336
DOI:10.1016/j.ijleo.2017.03.050