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 hizontal directions on shallow water of unifm depth. The equation is handled via the exp(−Φ(η))-expansion me...
M. Belal Hossen, Harun-Or Roshid, Md Zulfikar Ali
Harun-Or-Roshid, Wen‐Xiu Ma
To explore the features of lump solutions, which are local in every direction of space, a ( 2 + 1 )-dimensional extended shallow water wave model is studied, based on its bilinear representation. Several ansatzes have been utilized to determine single lump waves, lump-kink waves, single kinks and mu...
Harun-Or Roshid, Md. Rashed Kabir, Rajandra Chadra Bhowmik, Bimal Kumar Datta
In this paper, we have described two dreadfully important methods to solve nonlinear partial differential equations which are known as exp-function and the exp(-ϕ(ξ)) -expansion method. Recently, there are several methods to use for finding analytical solutions of the nonlinear partial differential ...
Mohammed Mahbubul Matin, Md. Saif Hasan, Monir Uzzaman, M. M. H. Bhuiyan et al.
Regioselective unimolar one-step hexanoylation of methyl α- d -mannopyranoside (MDM) under controlled conditions furnished the 6-O-hexanoate and indicated the regioselectivity at C-6 position. To develop mannopyranoside based potential antimicrobial sugar esters (SEs), 6-O-hexanoate was further conv...
Mohammad Safi Ullah, Md Zulfikar Ali, Harun-Or Roshid, Aly R. Seadawy et al.
In this manuscript, the (2+1)-dimensional Bogoyavlenskii's breaking soliton (BBS) model is considered. At-first, we reduce the model into its bilinear form using the Hirota bilinear approach. We then analytically construct lump waves and collision of lump with periodic waves via the Hirota scheme. W...
Md. Nur Alam, M. G. Hafez, M. Ali Akbar, Harun-Or Roshid
In this work, the exact traveling wave solutions to the (3+1)-dimensional mKdV–ZK equation and the (2+1)-dimensional Burgers equation are studied using the exp(-Φ(η))-expansion method. The traveling wave solutions are expressed in terms of the exponential functions, the hyperbolic functions, the tri...
Mohammad Safi Ullah, Alrazi Abdeljabbar, Harun-Or Roshid, Md Zulfikar Ali
We apply the unified method to retrieve optical soliton solutions of the Biswas–Arshed model (BAM) with the Kerr law nonlinearity in this paper. We first derive the ordinary differential form of this model from its partial differential form via a variable transformation. Then we add many new dynamic...
Harun-Or Roshid, M. Ali Akbar, Md. Nur Alam, Md Fazlul Hoque et al.
In this article, a new extended (G'/G) -expansion method has been proposed for constructing more general exact traveling wave solutions of nonlinear evolution equations with the aid of symbolic computation. In order to illustrate the validity and effectiveness of the method, we pick the (3 + 1)-dime...
Md. Mamunur Roshid, Harun-Or Roshid
Two nonlinear evolution equations, namely the Kadomtsev-Petviashvili (KP) equation which describes the dynamics of soliton and nonlinear wave in the field of fluid dynamics, plasma physics and the Oskolkov equation which describes the dynamics of an incompressible visco-elastic Kelvin-Voigt fluid ar...
Mohammad Safi Ullah, Md Zulfikar Ali, Harun-Or Roshid
This research focuses on bifurcation analysis and new waveforms for the first fractional 3D Wazwaz-Benjamin-Bona-Mahony (WBBM) structure, which arises in shallow water waves. The linear stability technique is also employed to assess the stability of the mentioned model. The suggested equation's dyna...
Mohammad Safi Ullah, Aly R. Seadawy, Md Zulfikar Ali, Harun-Or Roshid
Alrazi Abdeljabbar, M. Belal Hossen, Harun-Or Roshid, Abdullah Aldurayhim
This research explores a (2 + 1)-D generalized Camassa–Holm–Kadomtsev–Petviashvili model. We use a probable transformation to build bilinear formulation to the model by Hirota bilinear technique. We derive a single lump waves, multi-soliton solutions to the model from this bilinear form. We present ...
Mohammad Safi Ullah, Md Zulfikar Ali, Harun-Or Roshid
This manuscript investigates bifurcation, chaos, and stability analysis for a significant model in the research of shallow water waves, known as the second 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) model. The dynamical system for the above-mentioned nonlinear structure is obtained by employin...
Mohammad Safi Ullah, Md Gulam Mostafa, Md Zulfikar Ali, Harun-Or Roshid et al.
The Zoomeron equation is used in various categories of soliton with unique characteristics that arise in different physical phenomena, such as fluid dynamics, laser physics, and nonlinear optics. To achieve soliton solutions for the Zoomeron nonlinear structure, we apply the unified, the Kudryashov,...
Mohammad Safi Ullah, Md Zulfikar Ali, Harun-Or Roshid, Md Fazlul Hoque
Mohammad Safi Ullah, Harun-Or Roshid, Md Zulfikar Ali
Mohammad Safi Ullah, Harun-Or Roshid, Wen‐Xiu Ma, Md Zulfikar Ali et al.
In this article, we consider a (3 + 1)-dimensional Sharma–Tasso–Olver-like (STOL) model describing dynamical propagation of nonlinear dispersive waves in inhomogeneous media. Applying Hirota's bilinear technique and a trial function, we explore nonlinear dynamical properties of basic solutions to th...
Zillur Rahman, Md Zulfikar Ali, Harun-Or Roshid
We introduce a new integral scheme namely improved Kudryashov method for solving any nonlinear fractional differential model. Specifically, we apply the approach to the nonlinear space–time fractional model leading the wave to spread in electrical transmission lines (s-tfETL), the time fractional co...
M. Belal Hossen, Harun-Or Roshid, Md Zulfikar Ali
In this work, we consider a (2 + 1)-dimensional asymmetric Nizhnik-Novikov-Veselov (ANNV) equation, which has applications in processes of interaction of exponentially localized structures. Based on the bilinear formalism and with the aid of symbolic computation, we determine multi-solitons, breathe...