Results 11 to 20 of about 10,987,878 (146)

Exact Optical Solitons for Generalized Kudryashov’s Equation by Lie Symmetry Method

Journal of Mathematics, 2023
In this article, we use Lie point symmetry analysis to extract some new optical soliton solutions for the generalized Kudryashov’s equation (GKE) with an arbitrary power nonlinearity.
Rajagopalan Ramaswamy, E. S. El-Shazly, M. S. Abdel Latif, Amr Elsonbaty, A. H. Abdel Kader   +4 more
doaj   +2 more sources

Solitons and other solutions of perturbed nonlinear Biswas–Milovic equation with Kudryashov’s law of refractive index [PDF]

Nonlinear Analysis, 2022
We analytically study the exact solitary wave solutions of the perturbed nonlinear Biswas–Milovic equation with Kudryashov’s law of refractive index, which describes the propagation of pulses of various types in optical fiber.
Lanre Akinyemi, Mohammad Mirzazadeh, Kamyar Hosseini   +2 more
doaj   +2 more sources

Propagation of optical solitons for Kudryashov’s law with dual form of generalized non-local nonlinearity

Results in Physics, 2022
In this paper, we study the optical solitons for Kudryashov’s law with dual form of generalized non-local nonlinearity in optical fibers. Through the trial equation method and the complete discrimination system for polynomial, we get various optical wave
Jian Zhang
doaj   +2 more sources

Analysis of Kudryashov’s equation with conformable derivative via the modified Sardar sub-equation algorithm

Results in Physics
In the present work, we utilize a new Sardar sub-equation approach, leading to the successful derivation of several exact solutions for the time-fractional Kudryashov’s equation, which describes the propagation pulses in optical fibers.
Muhammad Amin S. Murad, Waqas Ali Faridi, Mujahid Iqbal, Ahmed H. Arnous, Nehad Ali Shah, Jae Dong Chung   +5 more
doaj   +2 more sources

Nonlinear Schrödinger equations with spatio-temporal dispersion in Kerr, parabolic, power and dual power law media: A novel extended Kudryashov’s algorithm and soliton solutions

Results in Physics, 2017
In this study, we perform the extended Kudryashov method to nonlinear Schrödinger equation (NLSE) with spatio-temporal dispersion that arises in a propagation of light in nonlinear optical fibers, planar waveguides, Bose–Einstein condensate theory.
Yakup Yıldırım, Nisa Çelik, Emrullah Yaşar   +2 more
doaj   +2 more sources

Chirped gap solitons with Kudryashov’s law of self-phase modulation having dispersive reflectivity

Journal of the European Optical Society-Rapid Publications, 2023
The present study is devoted to investigate the chirped gap solitons with Kudryashov’s law of self-phase modulation having dispersive reflectivity. Thus, the mathematical model consists of coupled nonlinear Schrödinger equation (NLSE) that describes ...
Al-Ghafri Khalil S., Sankar Mani, Krishnan Edamana V., Biswas Anjan, Asiri Asim   +4 more
doaj   +2 more sources

Dynamics of M-truncated optical solitons and other solutions to the fractional Kudryashov’s equation

Results in Physics
The study of soliton theory plays a crucial role in the telecommunication industry’s utilization of nonlinear optics. The principal area of research in the field of optical solitons revolves around optical fibers, metamaterials, metasurfaces, magneto ...
Usman Younas, Fengping Yao, Naila Nasreen, Aziz Khan, Thabet Abdeljawad   +4 more
doaj   +2 more sources

Quiescent optical solitons with Kudryashov’s law of nonlinear refractive index [PDF]

, 2023
The present study reports quiescent optical solitons for Kudryashov’s proposed form of self-phase modulation with quintuple nonlinearity having two power-law parameters. The solitons were retrieved with the usage of enhanced Kudryashov’s algorithm.
Simona Moldovanu, Abdulah A. Alghamdi, Arnous, Ahmed H., Biswas, Anjan, Moldovanu, Simona, Ahmed H. Arnous, Luminita Moraru, Yıldırım, Yakup, Alghamdi, Abdulah A., Yakup Yıldırım, Moraru, Luminita, Anjan Biswas   +11 more
core   +1 more source

Optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equations by the new Kudryashov’s method

Results in Physics, 2021
In this work, we study the optical soliton solutions of the generalized non-autonomous nonlinear Schrödinger equation (NLSE) by means of the new Kudryashov’s method (NKM). The aforesaid model is examined with time-dependent coefficients.
Hadi Rezazadeh, Najib Ullah, Lanre Akinyemi, Abdullah Shah, Seyed Mehdi Mirhosseini-Alizamin, Yu-Ming Chu, Hijaz Ahmad   +6 more
doaj   +1 more source

Exploring the fractional Hirota Maccari system for its soliton solutions via impressive analytical strategies

Results in Physics, 2022
In the field of marine engineering, the characteristics of wave propagation play an imperative character. In many geographical regions, the key source of environmental effects on artificial floating or stationary structures or seashores is waves.
Asim Zafar, Maliha Ijaz, Sayed M. Eldin, Sana Anwar, Imran Siddique   +4 more
doaj   +1 more source