Results 1 to 10 of about 51,683 (232)

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
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N-soliton, breather, M-lump and interaction dynamics for a (2 + 1)-dimensional KdV equation with variable coefficients

Results in Physics, 2023
The main purpose of this paper is to learn N-soliton, M-lump, breather solutions and interaction solutions for a KdV equation with variable coeffificients.
Deniu Yang
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Classical Darboux transformation and exact soliton solutions of a two-component complex short pulse equation

AIMS Mathematics, 2023
This paper investigates soliton solutions to a two-component complex short pulse (c-SP) equation. Based on the known Lax pair representation of this equation, we verify the integrability of a two-component c-SP equation and find an equivalent convenient ...
Qiulan Zhao , Muhammad Arham Amin , Xinyue Li   +2 more
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Propagation and interaction between special fractional soliton and soliton molecules in the inhomogeneous fiber

Journal of Advanced Research, 2022
Introduction: Fractional nonlinear models have been widely used in the research of nonlinear science. A fractional nonlinear Schrödinger equation with distributed coefficients is considered to describe the propagation of pi-second pulses in inhomogeneous
Gang-Zhou Wu, Chao-Qing Dai, Yue-Yue Wang, Yi-Xiang Chen   +3 more
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Optical Soliton Solutions to Gerdjikov-Ivanov Equation Without Four-Wave Mixing Terms in Birefringent Fibers by Extended Trial Function Scheme

مجلة المختار للعلوم, 2021
Without four-wave mixing terms in birefringent fibers, the extended trial function scheme was used to obtain optical soliton solutions for the coupled system corresponding to the Gerdjikov-Ivanov equation.
Emad E. M. Mikael, Abdulmalik Altwaty, Bader Masry   +2 more
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Exploration of New Optical Solitons in Magneto-Optical Waveguide with Coupled System of Nonlinear Biswas–Milovic Equation via Kudryashov’s Law Using Extended F-Expansion Method

Mathematics, 2023
Optical soliton solutions in a magneto-optical waveguide and other exact solutions are investigated for the coupled system of the nonlinear Biswas–Milovic equation with Kudryashov’s law using the extended F-expansion method.
Wafaa B. Rabie, Hamdy M. Ahmed, Walid Hamdy   +2 more
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Abundant optical soliton structures to the Fokas system arising in monomode optical fibers

Open Physics, 2022
Three effective methods, namely, the simplified extended tanh-function method (SETFM), variational method (VM) and He’s frequency formulation method (HFFM) are employed to investigate the Fokas system that arises in the monomode optical fibers.
Zhang Pei-Ling, Wang Kang-Jia
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Soliton Solutions and Other Solutions for Kundu–Eckhaus Equation with Quintic Nonlinearity and Raman Effect Using the Improved Modified Extended Tanh-Function Method

Mathematics, 2022
Our paper studies the optical solitons for the Kundu–Eckhaus (KE) equation with quintic nonlinearity and Raman effect. By applying the improved modified extended tanh-function method, many soliton solutions can be obtained such as bright soliton ...
Karim K. Ahmed, Niveen M. Badra, Hamdy M. Ahmed, Wafaa B. Rabie   +3 more
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Derivation of new optical solitons for Biswas-Milovic equation with dual-power law nonlinearity using improved modified extended tanh-function method

Alexandria Engineering Journal, 2023
Cubic-quartic optical solitons and other solutions for Biswas-Milovic equation with dual-power law nonlinearity are investigated using improved modified extended tanh-function method.
Nivan M. Elsonbaty, Niveen M. Badra, Hamdy M. Ahmed, Ahmed M. Elsherbeny   +3 more
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Abundant soliton wave solutions and the linear superposition principle for generalized (3+1)-D nonlinear wave equation in liquid with gas bubbles by bilinear analysis

Results in Physics, 2022
In this article, we study the generalized (3+1)-dimensional nonlinear wave equation where is investigated in soliton theory and by employing the Hirota’s bilinear method the bilinear form is obtained, and the N-soliton solutions are constructed.
Guiping Shen, Jalil Manafian, Dinh Tran Ngoc Huy, Kottakkaran Sooppy Nisar, Mostafa Abotaleb, Nguyen Dinh Trung   +5 more
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