Dipankar Kumar, Aly R. Seadawy, Atish Kumar Joardar
Aly R. Seadawy, Dipankar Kumar, K. Hosseini, F. Samadani
The present study deals with the system of equations for the ion sound and Langmuir waves (SEISLWs). Distinct integration schemes, including the modified Kudraysov method (MKM) and the hyperbolic function method (HFM) with the help of symbolic computation package, are utilized to acquire new exact s...
Aly R. Seadawy, Dipankar Kumar, Anuz Kumar Chakrabarty
Dipankar Kumar, Aly R. Seadawy, Md. Rabiul Haque
This paper focuses on investigating soliton and other solutions using three integration schemes to integrate a nonlinear partial differential equation describing the wave propagation in nonlinear low–pass electrical transmission lines. By applying the Kirchhoff’s laws and complex transformation, the...
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...
M. Mamun Miah, Aly R. Seadawy, H. M. Shahadat Ali, M. Ali Akbar
The propagation of waves in dispersive media, liquid flow containing gas bubbles, fluid flow in elastic tubes, oceans and gravity waves in a smaller domain, spatio-temporal rescaling of the nonlinear wave motion are delineated by the compound Korteweg-de Vries (KdV)-Burgers equation, the (2+1)-dimen...
M. Mamun Miah, H. M. Shahadat Ali, M. Ali Akbar, Aly R. Seadawy
Most fundamental themes in mathematical physics and modern engineering are investigated by the closed form traveling wave solutions of nonlinear evolution equations. In our research, we ascertain abundant new closed form traveling wave solution of the nonlinear integro-differential equations via Ito...
Mohammad Safi Ullah, Aly R. Seadawy, Md Zulfikar Ali, Harun-Or Roshid
Abdul Hamid Ganie, Abdul–Majid Wazwaz, Aly R. Seadawy, Mohammad Safi Ullah et al.
Mahinur Akter, Mohammad Safi Ullah, Abdul–Majid Wazwaz, Aly R. Seadawy
Hemonta Kumar Barman, Aly R. Seadawy, M. Ali Akbar, Dumitru Bǎleanu
The Riemann wave equation and the Novikov-Veselov equation are interesting nonlinear equations in the sphere of tidal and tsunami waves in ocean, river, ion and magneto-sound waves in plasmas, electromagnetic waves in transmission lines, homogeneous and stationary media etc. In this article, the gen...
Dipankar Kumar, Aly R. Seadawy, Raju Chowdhury
Mujahid Iqbal, Md. Nur Alam, Dianchen Lu, Aly R. Seadawy et al.
Dipankar Kumar, Gour Chandra Paul, Tapos Biswas, Aly R. Seadawy et al.
Abstract This paper retrieves some new optical solutions to the Kundu–Mukherjee–Naskar (KMN) equation in the context of nonlinear optical fiber communication systems. In this regard, a complex transformation is applied to the integer-order KMN equation for converting it to an ordinary differential e...
Noor Alam, Wen‐Xiu Ma, Mohammad Safi Ullah, Aly R. Seadawy et al.
In this research, the modified extended tanh-function (METF) and the extended Jacobi elliptic function expansion (EJEFE) techniques are used to investigate the generation and detection of soliton structures in the Hirota–Maccari (HM) model. Consequently, we obtain soliton solutions with advanced str...