[HTML][HTML] New exact solutions for the Kawahara equation using Exp-function method

LMB Assas - Journal of Computational and Applied Mathematics, 2009 - Elsevier
In this paper, we applied the Exp-function method to solve the Kawahara equation. This
method can be used to obtain new exact solutions and periodic solutions with parameters …

New exact solutions of space and time fractional modified Kawahara equation

SÇ Ünal, A Daşcıoğlu, DV Bayram - Physica A: Statistical Mechanics and its …, 2020 - Elsevier
One of the important nonlinear evolution equations in mathematical physics is the modified
Kawahara equation. In this work, by utilizing an analytic method based on the Jacobi elliptic …

New exact solutions for the space-time fractional Kawahara equation

A Daşcıoğlu, SÇ Ünal - Applied Mathematical Modelling, 2021 - Elsevier
The Kawahara equation is a model of capillary-gravity water wave and plasma waves. In this
paper, a direct method based on the Jacobi elliptic functions is presented to get analytical …

Exact solutions of coupled nonlinear Klein–Gordon equation

D Shang - Applied Mathematics and Computation, 2010 - Elsevier
In this paper, we employ the general integral method for traveling wave solutions of coupled
nonlinear Klein–Gordon equations. Based on the idea of the exact Jacobi elliptic function, a …

Travelling wave solutions to some important equations of mathematical physics

AH Khater, MM Hassan, DK Callebaut - Reports on Mathematical Physics, 2010 - Elsevier
Exact travelling wave solutions of some nonlinear evolution equations of mathematical
physics are obtained by using the mapping method and the extended F-expansion method …

Approximate Solutions of Time Fractional Kawahara Equation by Utilizing the Residual Power Series Method

S Çulha Ünal - International Journal of Applied and Computational …, 2022 - Springer
In this work, the residual power series method (RPSM) is utilized for solving the time
fractional Kawahara equation. Here, the fractional derivatives are defined in Caputo sense …

All traveling wave exact solutions of the Kawahara equation using the complex method

F Ye, J Tian, X Zhang, C Jiang, T Ouyang, Y Gu - Axioms, 2022 - mdpi.com
In this article, we prove that the〈 p, q〉 condition holds, first by using the Fuchs index of the
complex Kawahara equation, and then proving that all meromorphic solutions of complex …

An efficient technique for higher order fractional differential equation

A Ali, MA Iqbal, QM Ul-Hassan, J Ahmad… - SpringerPlus, 2016 - Springer
In this study, we establish exact solutions of fractional Kawahara equation by using the idea
of\exp\,\left (-φ\left (η\right)\right) exp-φ η-expansion method. The results of different studies …

Analysis of the fractional Kawahara equation using an implicit fully discrete local discontinuous Galerkin method

L Wei, Y He, B Tang - Numerical Methods for Partial Differential …, 2013 - Wiley Online Library
In this article, an implicit fully discrete local discontinuous Galerkin (LDG) finite element
method, on the basis of finite difference method in time and LDG method in space, is applied …

Bell-shaped soliton solutions and travelling wave solutions of the fifth-order nonlinear modified Kawahara equation

A Başhan - International Journal of Nonlinear Sciences and …, 2021 - degruyter.com
The main aim of this work is to investigate numerical solutions of the two different types of
the fifth-order modified Kawahara equation namely bell-shaped soliton solutions and …