On solitary wave solutions for the perturbed Chen–Lee–Liu equation via an analytical approach

H Esen, N Ozdemir, A Secer, M Bayram - Optik, 2021 - Elsevier
In this paper, the perturbed Chen–Lee–Liu equation is presented. Sardar subequation
method is implemented to retrieve the novel analytical solutions of the given equation …

Time-fractional Cahn–Allen and time-fractional Klein–Gordon equations: Lie symmetry analysis, explicit solutions and convergence analysis

M Inc, A Yusuf, AI Aliyu, D Baleanu - Physica A: Statistical Mechanics and …, 2018 - Elsevier
This research analyzes the symmetry analysis, explicit solutions and convergence analysis
to the time fractional Cahn–Allen (CA) and time-fractional Klein–Gordon (KG) equations with …

[HTML][HTML] Exact solutions of the generalized (2+ 1)-dimensional nonlinear evolution equations via the modified simple equation method

MO Al-Amr - Computers & Mathematics with Applications, 2015 - Elsevier
In this paper, the modified simple equation method (MSEM) is applied to construct exact
solutions of the generalized (2+ 1)-dimensional nonlinear evolution equations (NLEEs) …

Assorted hyperbolic and trigonometric function solutions of fractional equations with conformable derivative in shallow water

AC Cevikel, A Bekir - International Journal of Modern Physics B, 2023 - World Scientific
We present the modified simple equation method for solving nonlinear fractional-order
partial differential equations (fPDEs). With the presented method, some important fPDEs are …

Application of a homogeneous balance method to exact solutions of nonlinear fractional evolution equations

H Jafari, H Tajadodi, D Baleanu - Journal of …, 2014 - asmedigitalcollection.asme.org
The fractional Fan subequation method of the fractional Riccati equation is applied to
construct the exact solutions of some nonlinear fractional evolution equations. In this paper …

New approach for exact solutions of time fractional Cahn–Allen equation and time fractional Phi-4 equation

H Tariq, G Akram - Physica A: Statistical Mechanics and its Applications, 2017 - Elsevier
In this article, new exact analytical solutions of some nonlinear evolution equations (NLEEs)
arising in science, engineering and mathematical physics, namely time fractional Cahn …

A variety of exact solutions for the time fractional Cahn-Allen equation

O Güner, A Bekir, AC Cevikel - The European Physical Journal Plus, 2015 - Springer
In this paper, the nonlinear time fractional Cahn-Allen equation is studied by three distinct
methods. These methods are also applied to derive a variety of travelling wave solutions …

A new fractional Jacobi elliptic equation method for solving fractional partial differential equations

B Zheng - Advances in Difference Equations, 2014 - Springer
In this paper, we propose a new fractional Jacobi elliptic equation method to seek exact
solutions of fractional partial differential equations. Based on a traveling wave …

[PDF][PDF] The modified simple equation method for nonlinear fractional differential equations

M Kaplan, A Bekir, A Akbulut, E Aksoy - Rom. J. Phys, 2015 - academia.edu
In this study, the modified simple equation method is used to construct exact solutions of the
space-time fractional modified Korteweg–de Vries equation, the spacetime fractional …

New soliton properties to the ill-posed Boussinesq equation arising in nonlinear physical science

S Duran, M Askin, TA Sulaiman - … of Optimization and Control: Theories & …, 2017 - ijocta.org
In manuscript, with the help of the Wolfram Mathematica 9, we employ the modified
exponential function method in obtaining some new soliton solutions to the ill-posed …