Results 11 to 20 of about 14,785 (196)

The (2+1) and (3+1)-Dimensional CBS Equations: Multiple Soliton Solutions and Multiple Singular Soliton Solutions

Zeitschrift für Naturforschung A, 2010
In this work, the generalized (2+1) and (3+1)-dimensional Calogero-Bogoyavlenskii-Schiff equations are studied. We employ the Cole-Hopf transformation and the Hirota bilinear method to derive multiple-soliton solutions and multiple singular soliton solutions for these equations.
Abdul Majid Wazwaz
openaire   +3 more sources

Cubic–quartic optical soliton perturbation and modulation instability analysis in polarization-controlled fibers for Fokas–Lenells equation

Journal of the European Optical Society-Rapid Publications, 2022
The objective of this study is to investigate miscellaneous wave structures for perturbed Fokas–Lenells equation (FLE) with cubic-quartic dispersion in polarization-preserving fibers.
Al-Ghafri Khalil S., Krishnan Edamana V., Biswas Anjan   +2 more
doaj   +1 more source

Analytical soliton solutions and wave profiles of the (3+1)-dimensional modified Korteweg–de Vries–Zakharov–Kuznetsov equation

Results in Physics, 2023
In this research paper, the improved generalized Riccati equation mapping (IGREM) method is employed to get analytical soliton solutions of (3+1)-dimensional modified Korteweg–de Vries–Zakharov–Kuznetsov (mKdV-ZK) equation.
Hamood Ur Rehman, Aziz Ullah Awan, Ahmed M. Hassan, Shagufta Razzaq   +3 more
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Optical Solutions of Schrödinger Equation Using Extended Sinh–Gordon Equation Expansion Method

Frontiers in Physics, 2020
In this paper, we investigated the non-linear Schrödinger equation (NLS) to extract optical soliton solutions by implementing the extended Sinh–Gordon equation expansion method (ShGEEM).
Amna Irshad, Naveed Ahmed, Umar Khan, Syed Tauseef Mohyud-Din, Ilyas Khan, El-Sayed M. Sherif, El-Sayed M. Sherif   +6 more
doaj   +1 more source

The Propagating Exact Solitary Waves Formation of Generalized Calogero–Bogoyavlenskii–Schiff Equation with Robust Computational Approaches

Fractal and Fractional, 2023
The generalized Calogero–Bogoyavlenskii–Schiff equation (GCBSE) is examined and analyzed in this paper. It has several applications in plasma physics and soliton theory, where it forecasts the soliton wave propagation profiles.
Basem Al Alwan, Muhammad Abu Bakar, Waqas Ali Faridi, Antoniu-Claudiu Turcu, Ali Akgül, Mohammed Sallah   +5 more
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Optical soliton polarization with Lakshmanan–Porsezian–Daniel model by unified approach

Results in Physics, 2021
This work retrieves polarized optical soliton solutions for pulses in birefringent fibers that are modeled by the Lakshmanan–Porsezian–Daniel model. The unified approach recovers singular solitons only.
Mohammad Safi Ullah, Harun-Or-Roshid, M. Zulfikar Ali, Anjan Biswas, Mehmet Ekici, Salam Khan, Luminita Moraru, Abdullah Khamis Alzahrani, Milivoj R. Belic   +8 more
doaj   +1 more source

Optical solitons in Fiber Bragg Gratings for the coupled form of the nonlinear (2+1)-dimensional Kundu-Mukherjee-Naskar equation via four powerful techniques

Results in Physics, 2023
In this article, four powerful techniques namely, the three wave method, double exponential, homoclinic breather, M-Shaped rational, M-Shaped with one kink, and M-Shaped with two kink are putting into practice to bolster the new optical solutions of the ...
Abdulmalik A. Altwaty
doaj   +1 more source

Kink-soliton, singular-kink-soliton and singular-periodic solutions for a new two-mode version of the Burger–Huxley model: applications in nerve fibers and liquid crystals [PDF]

Optical and Quantum Electronics, 2021
Abstract New two-mode version of Burger-Huxley equation is derived using Korsunsky's operators. The new model arises in the applications of nerve fibers and liquid crystals and describes the interaction of two symmetric waves moving simultaneously in the same direction.
Marwan Alquran, Tukur Abdulkadir Sulaiman, Abdullahi Yusuf   +2 more
openaire   +1 more source

Different analytical approaches for finding novel optical solitons with generalized third-order nonlinear Schrödinger equation

Results in Physics, 2021
In this paper, we looked into the generalized third-order nonlinear Schrödinger equation (NLSE). This model has a wide range of applications, including ultra-short pulses in optical fibers.
Sandeep Malik, Sachin Kumar, Kottakkaran Sooppy Nisar, C. Ahamed Saleel   +3 more
doaj   +1 more source

Novel soliton solutions to the Atangana–Baleanu fractional system of equations for the ISALWs

Open Physics, 2021
This work deals the construction of novel soliton solutions to the Atangana–Baleanu (AB) fractional system of equations for the ion sound and Langmuir waves by using Sardar-subequation method (SSM).
Asjad Muhammad Imran, Ullah Naeem, Rehman Hamood Ur, Gia Tuan Nguyen   +3 more
doaj   +1 more source