Sine-Gordon expansion method for exact solutions to conformable time fractional equations in RLW-class
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In this paper, the Sine-Gordon expansion method is implemented to construct exact solutions some conformable time fractional equations in Regularized Long Wave (RLW) class, where compatible wave transform reduces the governing equation to classical ordinary differential equation.About:
This article is published in Journal of King Saud University - Science.The article was published on 2020-01-01 and is currently open access. It has received 114 citations till now. The article focuses on the topics: Algebraic equation & Ordinary differential equation.read more
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Optical soliton solutions to the generalized nonautonomous nonlinear Schrödinger equations in optical fibers via the sine-Gordon expansion method
TL;DR: In this article, soliton solutions to the generalized nonautonomous nonlinear Schrodinger equations (with time-dependent coefficients) via the sine-Gordon expansion method have been presented.
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New explicit exact solutions of the unstable nonlinear Schrödinger’s equation using the exp a and hyperbolic function methods
TL;DR: In this paper, the unstable nonlinear Schrodinger's equation is studied, which points out the time evolution of disturbances in marginally stable or unstable media and a wide variety of new explicit exact solutions are successfully derived, proving the excellent performance of the schemes.
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Some optical soliton solutions to the perturbed nonlinear Schrödinger equation by modified Khater method
TL;DR: In this paper, the authors investigated the analytical solutions of the perturbed nonlinear Schrodinger equation through the modified Khater method, which is considered one of the most accurate analytical schemes in nonlinear evolution equations.
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Generalized logistic equation method for Kerr law and dual power law Schrödinger equations
TL;DR: In this paper, the dual power law Schrodinger equation and the Kerr law were used to obtain optical soliton solutions via generalized logistic equation method, and the outcomes are useful in describing the diffusion of optical solitons.
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New solitary wave solutions for the conformable Klein-Gordon equation with quantic nonlinearity
Hadi Rezazadeh,Javad Vahidi,Mostafa Eslami,Mehmet Ali Akinlar,Muhammad Nasir Ali,Yu-Ming Chu +5 more
TL;DR: In this paper, the authors presented new exact solutions in the form of solitary waves for the conformable Klein-Gordon equation with quintic nonlinearity using functional variable method which converts a conformable PDE to a second-order ordinary differential equation through a traveling wave transformation.
References
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A simple transformation for nonlinear waves
TL;DR: In this article, a transformation method is proposed to establish a relation between linear and nonlinear wave theories, which can be obtained from the sine-Gordon equation and is simpler than the hyperbolic tangent method in solving differential equations.