Results 1 to 10 of about 10,987,878 (146)

Construction of solitons and other solutions for NLSE with Kudryashov’s generalized nonlinear refractive index

Alexandria Engineering Journal, 2023
In our study we implement an improved modified extended tanh-function (IMETF) method for constructing new solitons and other types of solutions with NLSE having Kudryashov’s generalized nonlinear refractive index.
Manar Ahmed, Afaf Zaghrout, Hamdy M. Ahmed   +2 more
doaj   +2 more sources

New solitary waves and exact solutions for the fifth-order nonlinear wave equation using two integration techniques

Journal of Ocean Engineering and Science, 2023
In this paper, we discussed the enhanced Kudryashov’s and general projective Riccati equations techniques for obtaining exact solutions to the fifth-order nonlinear water wave (FONLWWE) equation.
Ahmed H. Arnous, Mohammad Mirzazadeh, Lanre Akinyemi, Arzu Akbulut   +3 more
doaj   +2 more sources

Unveiling diverse solitons in the quintic perturbed Gerdjikov-Ivanov model via a modified extended mapping method [PDF]

Scientific Reports
The quintic perturbed Gerdjikov–Ivanov equation, a non-linear model in optics and quantum field theory, describes the propagation of optical pulses in nonlinear media with quintic nonlinearity and perturbation effects.
Hisham H. Hussein, Hamdy M. Ahmed, Shaimaa A. Kandil, Wassim Alexan   +3 more
doaj   +2 more sources

Analytical methods and Riccati neural networks method of Kudryashov’s quintuple self-phase modulation with dual-form of generalized nonlocal nonlinearity [PDF]

Scientific Reports
In this paper, the exact soliton solutions of the nonlinear Schrödinger’s equation having Kudryashov’s quintuple power law of refractive index together with dual form of generalized nonlocal nonlinearity are studied.
Dongming Yu, Jalil Manafian, Mushtaq K. Abdalrahem, Mehrdad Lakestani, Onur Alp Ilhan, Somaye Malmir, Rzayeva Nuray, A. H. Hammadi   +7 more
doaj   +2 more sources

Construction of multi-wave complexiton solutions of the Kadomtsev-Petviashvili equation via two efficient analyzing techniques

Results in Physics, 2021
This study aims to investigate the (2 + 1)-dimensional Kadomtsev-Petviashvili equation via the three-waves method through the Hirota bilinear form and the Kudryashov’s method.
Abdullahi Yusuf, Tukur Abdulkadir Sulaiman, E.M. Khalil, Mustafa Bayram, Hijaz Ahmad   +4 more
doaj   +1 more source

Three different integration schemes for finding soliton solutions in the (1+1)-dimensional Van der Waals gas system

Results in Physics, 2023
This paper explores three distinct integration schemes applied to the problem of finding soliton solutions in the (1+1)-dimensional Van der Waals gas system.
Ahmed H. Arnous, Mohammad Mirzazadeh, Mir Sajjad Hashemi, Nehad Ali Shah, Jae Dong Chung   +4 more
doaj   +1 more source

Conserved vectors and solutions of the two-dimensional potential KP equation

Open Physics, 2023
This article investigates the potential Kadomtsev–Petviashvili (pKP) equation, which describes the evolution of small-amplitude nonlinear long waves with slow transverse coordinate dependence.
Khalique Chaudry Masood, Lephoko Mduduzi Yolane Thabo   +1 more
doaj   +1 more source

Highly Dispersive Optical Solitons in Birefringent Fibers of Complex Ginzburg–Landau Equation of Sixth Order with Kerr Law Nonlinear Refractive Index

Eng, 2023
In this paper, we derived optical soliton solutions with a highly dispersive nonlinear complex Ginzburg–Landau (CGL) equation in birefringent fibers that have Kerr law nonlinearity.
Elsayed M. E. Zayed, Khaled A. Gepreel, Mahmoud El-Horbaty, Mohamed E. M. Alngar   +3 more
doaj   +1 more source

Propagation of solitons in optical fibers with generalized Kudryashov’s refractive index

Results in Physics, 2021
The propagation of optical solitons in optical fibers with the generalized Kudryashov’s refractive index is described by a high order nonlinear Schrödinger equation.
Fan Sun
doaj   +1 more source

Analysing soliton dynamics and a comparative study of fractional derivatives in the nonlinear fractional Kudryashov’s equation

Results in Physics, 2023
In this scholarly exploration, we employ new mapping method to unveil new soliton solutions to the nonlinear fractional Kudryashov’s equation, using β-derivative and M-Truncated fractional derivatives.
Asfand Fahad, Salah Mahmoud Boulaaras, Hamood Ur Rehman, Ifrah Iqbal, Muhammad Shoaib Saleem, Dean Chou   +5 more
doaj   +1 more source