The first integral method for modified Benjamin–Bona–Mahony equation

S Abbasbandy, A Shirzadi - Communications in Nonlinear Science and …, 2010 - Elsevier
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[PDF][PDF] Modified simple equation method and its applications to nonlinear partial differential equations

M Mirzazadeh - Information Sciences Letters, 2014 - naturalspublishing.com
In this paper, the modified simple equation method is used to construct exact periodic and
soliton solutions of some nonlinear partial differential equations. Exact solutions of the …

Analytical solutions of the fifth-order time fractional nonlinear evolution equations by the unified method

A Majeed, MN Rafiq, M Kamran, M Abbas… - … Physics Letters B, 2022 - World Scientific
This key purpose of this study is to investigate soliton solution of the fifth-order Sawada–
Kotera and Caudrey–Dodd–Gibbon equations in the sense of time fractional local M …

A procedure to construct exact solutions of nonlinear evolution equations

AC Çevikel, A Bekir, M Akar, S San - Pramana, 2012 - Springer
In this paper, we implemented the functional variable method for the exact solutions of the
Zakharov–Kuznetsov-modified equal-width (ZK-MEW), the modified Benjamin–Bona …

ANALYSIS OF -DIMENSIONAL GENERALIZED CAMASSA–HOLM KADOMTSEV–PETVIASHVILI EQUATION THROUGH LIE SYMMETRIES, NONLINEAR …

A Hussain, A Jhangeer, MK Zia, I Khan, AH Ganie… - Fractals, 2023 - World Scientific
In this paper, the nonlinear (1+ n)-dimensional generalized Camassa–Holm Kadomtsev–
Petviashvili (g-CH-KP) equation is examined using Lie theory. Lie point symmetries of the …

Solitary wave solutions in plasma physics and acoustic gravity waves of some nonlinear evolution equations through enhanced MSE method

MS Islam, MM Roshid, AKML Rahman… - Journal of Physics …, 2019 - iopscience.iop.org
In this work, we probe the Gardner equation and the modified Benjamin-Bona-Mahony
(mBBM) equation associated with plasma physics, acoustic-gravity waves in fluid …

Solitary and Jacobi elliptic wave solutions of the generalized Benjamin-Bona-Mahony equation

DB Belobo, T Das - Communications in Nonlinear Science and Numerical …, 2017 - Elsevier
Exact bright, dark, antikink solitary waves and Jacobi elliptic function solutions of the
generalized Benjamin-Bona-Mahony equation with arbitrary power-law nonlinearity will be …

[PDF][PDF] Extended Jacobi elliptic function expansion method for nonlinear Benjamin-Bona-Mahony equations

AS Alofi - International Mathematical Forum, 2012 - Citeseer
Abstract The Benjamin-Bona-Mahony equation has improved short-wavelength behaviour,
as compared to the Korteweg-de Vries equation, and is another uni-directional wave …

Solitary and periodic wave solutions of the loaded modified Benjamin-Bona-Mahony equation via the functional variable method

B Babajanov, F Abdikarimov - Researches in Mathematics, 2022 - vestnmath.dnu.dp.ua
In this article, we established new travelling wave solutions for the loaded Benjamin-Bona-
Mahony and the loaded modified Benjamin-Bona-Mahony equation by the functional …

[HTML][HTML] Analytical study on the balancing principle for the nonlinear Klein–Gordon equation with a fractional power potential

Z Pinar - Journal of King Saud University-Science, 2020 - Elsevier
In the literature, although many methods depend on the ansatz solution, there is not any
specific rule to determine the degree of the ansatz ie balancing principle. The problem is …