Results 21 to 30 of about 11,580,339 (146)

Diverse Jacobi Elliptic Function Solutions and Dynamical Behaviors for a High-Order KdV Type Wave Equation via Extended F-Expansion Method

Mathematics
This paper focuses on a high-order Korteweg–de Vries wave equation. The extended F-expansion method, a modified form of Kudryashov’s auxiliary equation approach, is employed to construct Jacobi elliptic function solutions for this equation.
Jiayi Fu, Weixu Ni, Wenxia Chen
doaj   +2 more sources

Traveling wave solutions, numerical solutions, and stability analysis of the (2+1) conformal time-fractional generalized q-deformed sinh-Gordon equation

Nonlinear Engineering
The two-dimensional conformal time-fractional generalized qq-deformed sinh-Gordon equation has been used to model a variety of physical systems, including soliton propagation in asymmetric media, nonlinear waves in optical fibers, quantum field theory ...
Ali Khalid K.
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

Traveling Wave Solutions to the Nonlinear Evolution Equation Using Expansion Method and Addendum to Kudryashov’s Method

, 2021
The inspection of wave motion and propagation of diffusion, convection, dispersion, and dissipation is a key research area in mathematics, physics, engineering, and real-time application fields.
Hammad Alotaibi
core   +1 more source

Bifurcation analysis of small amplitude unidirectional waves for nonlinear Schrödinger equations with fractional derivatives. [PDF]

Sci Rep
This study explores bifurcation phenomena in the nonlinear time-dependent Schrödinger equation and related models, applying Kudryashov’s methods to find exact solutions.
Aderyani SR, Saadati R, Abolhassanifar MS, O'Regan D.   +3 more
europepmc   +2 more sources

The traveling wave mode for nonlinear Biswas–Milovic equation in magneto-optical wave guide coupling system with Kudryashov’s law of refractive index

Results in Physics, 2021
This paper studies the traveling wave modes for nonlinear Biswas–Milovic equation in magneto-optical wave guide coupling system with Kudryashov’s law of refractive index.
Li-Feng Guo, Wan-Rong Xu
doaj   +1 more source

ON THE TRAVELING WAVE SOLUTIONS OF PULSE PROPAGATION IN MONOMODE FIBER VIA THE EXTENDED KUDRYASHOV’S APPROACH

, 2022
© 2022 Society of Thermal Engineers of Serbia Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This is an open access article distributed under the CC BY-NC-ND 4.0 terms and conditionsIn this research paper, we tackle with the ...
Tekercioğlu, Ramazan
core   +2 more sources

New and More Solitary Wave Solutions for the Klein-Gordon-Schrödinger Model Arising in Nucleon-Meson Interaction

Frontiers in Physics, 2021
This paper considers methods to extract exact, explicit, and new single soliton solutions related to the nonlinear Klein-Gordon-Schrödinger model that is utilized in the study of neutral scalar mesons associated with conserved scalar nucleons coupled ...
Nauman Raza, Saima Arshed, Asma Rashid Butt, Dumitru Baleanu, Dumitru Baleanu, Dumitru Baleanu   +5 more
doaj   +1 more source