Results 91 to 100 of about 8,391 (169)

The Perturbed Chen–Lee–Liu Equation: Diverse Optical Soliton Solutions and Other Wave Solutions

Advances in Mathematical Physics
The objective of the present study is to extract the optical soliton solutions (OSSs) of the perturbed Chen–Lee–Liu equation by exerting three techniques, which are the extended Wang’s direct mapping method, tanh/coth function method and the Subequation ...
Kang-Jia Wang
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Exploration of soliton solution of coupled Drinfel’d–Sokolov–Wilson equation under conformable differential operator

Partial Differential Equations in Applied Mathematics
The aim of this paper is to study the nonlinear couple Drinfel’d–Sokolov–Wilson (DSW) equation under conformable differential operator (CDO) that plays an important role in describing the shallow water in fluid mechanics, plasma physics, nonlinear optics
Waseem Akram, Aman Ullah, Sajid Ali, Shabir Ahmad   +3 more
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The enhancement of ferromagnetism in uniaxially stressed diluted magnetic semiconductors

, 2003
We predict a new mechanism of enhancement of ferromagnetic phase transition temperature $T_c$ in uniaxially stressed diluted magnetic semiconductors (DMS) of p-type.
A. Mauger, A.M. Stoneham, E.A. Pashitskij, H. Ohno, H. Ohno, M. Abolfath, M. Tanaka, M. Umehara, T. Dietl, T. Dietl, V.A. Stephanovich, Vladimir Stephanovich, Yu.G. Semenov, Yuri Semenov   +13 more
core   +1 more source

Bi-directional solitons of dual-mode Gardner equation derived from ideal fluid model

Results in Physics
In this article, the main goal is to find the exact solution to the dual-mode Gardner equation derived from the ideal fluid model. To achieve this, two distinct methods will be employed: the tan/cot method and the tanh/coth method.
Sadia Sadiq, Ahmad Javid, Muhammad Bilal Riaz, Ghada Ali Basendwah, Nauman Raza   +4 more
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Study of the soliton propagation of the fractional nonlinear type evolution equation through a novel technique. [PDF]

PLoS One, 2023
Zaman UHM, Arefin MA, Akbar MA, Uddin MH.   +3 more
europepmc   +1 more source

Novel insights into the propagation of the generalized Boussinesq equation: Dynamics of bidirectional symmetric solitary waves

Partial Differential Equations in Applied Mathematics
In this work, we explore the propagation of bidirectional solitary wave solutions in the generalized (2+1)-dimensional Boussinesq equation. The proposed model was recently introduced by Wazwaz and Kaur as an application to describe wave propagation in ...
Mohammed Banikhalid, Amirah Azmi, Marwan Alquran, Mohammed Ali   +3 more
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Advanced tumor growth modeling: A numerical study integrating phase plane analysis with finite volume method

Ain Shams Engineering Journal
This study investigates tumor density dynamics through computational modeling, focusing on key parameters: proliferation rate m, diffusion coefficient τ, and additional factors c and κ.
Muzammal Saleem, Muhammad Saqib, Taofeek O. Alade, Yasser Elmasry, Muhammad Farman, Shahid Hasnain   +5 more
doaj   +1 more source

An improved modified simplest equation method for exact solitary wave solutions of the three-dimensional nonlinear fractional wazwaz-benjamin-bona-mahony model

Partial Differential Equations in Applied Mathematics
In this study, we suggest an improved modified simplest equation (IMSE) approach to obtain distinct analytical solutions of the three-dimensional nonlinear fractional Wazwaz-Benjamin-Bona-Mahony (FWBBM) model associated with the conformable derivative ...
M. Al-Amin, M.Nurul Islam, M.Ali Akbar
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Conditions for the existence of soliton solutions: An analysis of coefficients in the generalized Wu–Zhang system and generalized Sawada–Kotera model

Nonlinear Engineering
Exploring nonlinear equations and systems with predetermined coefficient values constrains the depth of understanding of the dynamics inherent in various applications and phenomena represented by such equations.
Banikhalid Mohammed, Azmi Amirah, Alquran Marwan, Ali Mohammed   +3 more
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Traveling synchronized asymmetric two-waves in the propagation of the KdV and mKdV equations incorporating time-space dispersion terms

Partial Differential Equations in Applied Mathematics
Joseph and Egri revised the standard Korteweg-de Vries equation by replacing its third-order space dispersion term by space-time dispersions aiming to adjust the wave speed and preserve frequency stability. The aim of the current study is twofold. First,
Marwan Alquran, Imad Jaradat
doaj   +1 more source