K. Hosseini, Peyman Mayeli, Dipankar Kumar
The main aim of this article is studying the coupled sine-Gordon equations in nonlinear optics, which describe the propagation of an optical pulse in fibre waveguide. New exact solutions of the coupled sine-Gordon equations have been derived through the use of the well-organized modified Kudryashov ...
Harun-Or Roshid, Md. Azizur Rahman
Periodic and soliton solutions are presented for the (1+1)-dimensional classical Boussinesq equation which governs the evolution of nonlinear dispersive long gravity wave traveling in two horizontal directions on shallow water of uniform depth. The equation is handled via the exp(−Φ(η))-expansion me...
Md. Rezwan Ahamed Fahim, Purobi Rani Kundu, Md. Tarikul Islam, M. Ali Akbar et al.
The (3+1)-dimensional Kadomtsev-Petviashvili and the modified KdV-Zakharov-Kuznetsov equations have a significant impact in modern science for their widespread applications in the theory of long-wave propagation, dynamics of shallow water wave, plasma fluid model, chemical kinematics, chemical engin...
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 ...
K. M. Ariful Kabir, Kazuki Kuga, Jun Tanimoto
A modified susceptible-vaccinated-infected-recovered (SIR/V) with unaware-aware (UA) epidemic model in heterogeneous networks is presented to study the effect of information spreading in the spatial structure of the vaccination game on epidemic dynamics. Two layers SIR/V epidemic model is considered...
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...
Thilagarajah Mathanaranjan, Dipankar Kumar, Hadi Rezazadeh, Lanre Akinyemi
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...
K. M. Ariful Kabir, Jun Tanimoto
A two-layer susceptible-infected-recovered/unaware-aware (SIR-UA) epidemic model is presented to analyze the effect of different heterogeneous networks in a population. Random, scale-free, and small-world network topologies are tested to investigate the impact of awareness on the spread of epidemics...
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...
Yichuan Jiang, Jiuchuan Jiang
Social networks have recently been widely explored in many fields; these networks are composed of a set of autonomous social actors and the interaction relations among them. Multiagent computing has already been widely envisioned to be a powerful paradigm for modeling autonomous multientity systems;...
Lanre Akinyemi, Hadi Rezazadeh, Qiu‐Hong Shi, Mostafa M. A. Khater et al.
The perturbed nonlinear Schrödinger–Hirota equation with spatio-temporal dispersion (PNSHE-STD) which governs the propagation of dispersive pulses in optical fibers, is investigated in this study using an improved Sardar sub-equation method. The Kerr and power laws of nonlinearity are taken into acc...