Optical spatiotemporal solitary wave solutions of the generalized -dimensional Gross–Pitaevskii equation with distributed coefficients

N Das, SS Ray - Modern Physics Letters B, 2023 - World Scientific
In this work, the extended Jacobi elliptic function expansion approach is used to analyze a
generalized (3+ 1)-dimensional Gross–Pitaevskii equation with distributed time-dependent …

Dynamical behaviour of solitons and modulation instability analysis of a nonautonomous (1+ 1)-dimensional nonlinear Schrödinger equation

V Kumar, A Patel - Optik, 2023 - Elsevier
This study uses a semi-inverse variational technique to investigate the unknown dynamical
behaviour of optical solitons in the solutions of a nonautonomous (1+ 1)-dimensional …

Variable coefficient extended cKP equation for Rossby waves and its exact solution with dissipation

T Yin, Y Ji, J Pang - Physics of Fluids, 2023 - pubs.aip.org
In this article, the variable coefficient (2+ 1)-dimensional extended cylindrical Kadomtsev–
Petviashvili (cKP) equation describing Rossby waves was derived from the quasi …

Soliton solutions of the Boussinesq equation via an efficient analytical technique

M Ozisik, A Secer, M Bayram, A Yusuf… - … Physics Letters B, 2022 - World Scientific
In this paper, we consider the Boussinesq equation which is an important equation and it is
widely used in coastal engineering, harbors, shallow seas and water wave to model weakly …

[HTML][HTML] Dynamics and bidirectional lumps of the generalized Boussinesq equation with time-space dispersion term: Application of surface gravity waves

M Alquran, R Alhami - Journal of Ocean Engineering and Science, 2022 - Elsevier
In this paper, we revisit the generalized Boussinesq equation that include a new time-space
dispersion term. The Kudryashov expansion method is used to obtain singular and …

Numerical solution of Schrödinger equation by Crank–Nicolson method

A Khan, M Ahsan, E Bonyah, R Jan… - Mathematical …, 2022 - Wiley Online Library
In this study, we implemented the well‐known Crank–Nicolson scheme for the numerical
solution of Schrödinger equation. The numerical results converge to the exact solution …

[PDF][PDF] Exploring the propagations of the mixed doubly nonlinear dispersive Burgers equation: Resonant lump and kinky solitary waves

M Alquran, M Ali, Q Katatbeh, HM Jaradat, I Jaradat… - Rom. Rep. Phys …, 2023 - rrp.nipne.ro
In this work, we obtain new resonant lump, kinky, and periodic solutions to a combination of
two Burgers' hierarchies. In particular, we study the mixed doubly nonlinear dispersive …

Stability analysis, lump and exact solutions to Sharma–Tasso–Olver–Burgers equation

SU Rehman, J Ahmad, KS Nisar… - Optical and Quantum …, 2024 - Springer
In this work, the Hirota bilinear symbolic computational method along with test functions and
the generalized exponential rational function method are capitalized to secure soliton and …

Nonautonomous lump-periodic and analytical solutions to the ()-dimensional generalized Kadomtsev–Petviashvili equation

M Alquran, TA Sulaiman, A Yusuf, AS Alshomrani… - Nonlinear …, 2023 - Springer
This work establishes the lump periodic and exact traveling wave solutions for the (3+ 1)-
dimensional generalized Kadomtsev–Petviashvili equation. We use the Hirota bilinear …

On the soliton solutions to some system of complex coupled nonlinear models and the effect of the coupling coefficients

M Ozisik, H Esen, A Secer, M Bayram - Optical and Quantum Electronics, 2024 - Springer
In this work, we take into account the (2+ 1)-Davey Stewartson equation (DSE) and the (2+
1)-complex coupled Maccari system (CCMS) and their analytical solutions. Besides, we …