Dipankar Kumar, Aly R. Seadawy, Atish Kumar Joardar
Dipankar Kumar, K. Hosseini, F. Samadani
Kamruzzaman Khan, M. Ali Akbar
The modified simple equation (MSE) method is thriving in finding exact traveling wave solutions of nonlinear evolution equations (NLEEs) in engineering and mathematical physics. In this study, we bring to bear the MSE method to look for the exact solutions via the Tzitzeica–Dodd–Bullough and the mod...
Lanre Akinyemi, Hadi Rezazadeh, Shao-Wen Yao, M. Ali Akbar et al.
This paper studies the optical soliton solutions of a nonlinear Schrödinger equation (NLSE) involving parabolic law of nonlinearity with the presence of nonlinear dispersion by using the generalized auxiliary equation technique. As a result, new varieties of exact traveling wave solutions have been ...
Mohammad Mehdi Rashidi, E. Momoniat, M. Ferdows, A. Basiriparsa
The optimal homotopy analysis method (OHAM) is employed to investigate the steady laminar incompressible free convective flow of a nanofluid past a chemically reacting upward facing horizontal plate in a porous medium taking into account heat generation/absorption and the thermal slip boundary condi...
M. Ali Akbar, Norhashidah Hj. Mohd. Ali, E. M. E. Zayed
A generalized and improved ( G ′ / G )‐expansion method is proposed for finding more general type and new travelling wave solutions of nonlinear evolution equations. To illustrate the novelty and advantage of the proposed method, we solve the KdV equation, the Zakharov‐Kuznetsov‐Benjamin‐Bona‐Mahony...
Md. Nur Alam, M. Ali Akbar, Syed Tauseef Mohyud‐Din
In this article, a novel (G'/G)-expansion method is proposed to search for the traveling wave solutions of nonlinear evolution equations. We construct abundant traveling wave solutions involving parameters to the Boussinesq equation by means of the suggested method. The performance of the method is ...
Dipankar Kumar, Jalil Manafian, Faisal Hawlader, Arash Ranjbaran
Hasibun Naher, Farah Aini Abdullah
In this article, new (G′/G)-expansion method and new generalized (G′/G)-expansion method is proposed to generate more general and abundant new exact traveling wave solutions of nonlinear evolution equations. The novelty and advantages of these methods is exemplified by its implementation to the KdV ...
Khondoker Nazmoon Nabi, Hamadjam Abboubakar, Pushpendra Kumar
Highlights • A new compartmental mathematical model has been proposed incorporating imperfect quarantine and ineffective lockdown policies.• With an aim to gain a deeper understanding about probable peak dates and sizes, a fractional model has been developed by using the concept of Caputo derivative...
M. G. Hafez, Md. Nur Alam, M. Ali Akbar
In this article, the exp(−Φ(ξ))-expansion method has been successfully implemented to seek traveling wave solutions of the coupled Higgs field equation and the Maccari system. The result reveals that the method together with the first order ordinary differential equation is a very influential and ef...
Forhad Mahmud, Md. Samsuzzoha, M. Ali Akbar
In recent years, searching exact traveling wave solutions to nonlinear evolution equations (NLEEs) has become a remarkable topic of research. In this article, we obtain exact traveling wave solutions of two significant NLEEs, namely, the PHI-four equation and the Fisher equation involving parameters...
Jesmin Akter, M. Ali Akbar
The modified simple equation (MSE) method is a competent and highly effective mathematical tool for extracting exact traveling wave solutions to nonlinear evolution equations (NLEEs) arising in science, engineering and mathematical physics. In this article, we implement the MSE method to find the ex...
M. Belal Hossen, Harun-Or Roshid, Md Zulfikar Ali
Kamruzzaman Khan, M. Ali Akbar
The modified simple equation (MSE) method is promising for finding exact traveling wave solutions of nonlinear evolution equations (NLEEs) in mathematical physics. In this letter, we investigate solutions of the (2 + 1)-dimensional Zoomeron equation and the (2 + 1)-dimensional Burgers equation by us...