Results 51 to 60 of about 10,990,470 (194)

Exact analytical solutions for 3D- Gross–Pitaevskii equation with periodic potential by using the Kudryashov method [PDF]

open access: yes, 2016
This paper obtains solutions as well as other solutions to the 3D- Gross–Pitaevskii equation, which is called the non-linear Schrodinger equation under the conditions of Kudryashov method that appear in various areas of mathematical physics.
Neirameh, Ahmad
core   +1 more source

Exact Solutions and Nonlinear Dynamical Behavior in a Navier‐Stokes‐Type Model for Elastic Cylindrical Vessels: An Analytical and Computational Approach

open access: yesEngineering Reports, Volume 8, Issue 6, June 2026.
This study investigates a nonlinear Navier‐Stokes‐type model for elastic cylindrical vessels. Exact solutions are derived via the Bäcklund transformation and the ϕ6$$ {\phi}^6 $$‐expansion method, and dynamical behaviors are analyzed using bifurcation and chaos tools, revealing diverse wave structures and parameter‐dependent propagation characteristics.
Sheikh Zain Majid   +2 more
wiley   +1 more source

Diversity of wave structures to the conformable fractional dynamical model

open access: yesJournal of Ocean Engineering and Science, 2023
This manuscript examines the recently developed conformable three-dimensional Wazwaz–Benjamin–Bona–Mahony (3D-WBBM) equation’s dynamical behavior in terms of its spatial and temporal variables.
U. Younas, J. Ren
doaj   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9814-9831, June 2026.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq   +4 more
wiley   +1 more source

Postural control in humans: a study using transcutaneous spinal cord stimulation

open access: yesExperimental Physiology, Volume 111, Issue 4, Page 2163-2175, 1 April 2026.
Abstract The aim of the study was to investigate the spinal mechanisms involved in regulating postural balance in humans. Participants stood in a normal stance, with their spinal postural networks either non‐invasively activated or not stimulated by electrical stimulation.
Natalia Shamantseva   +5 more
wiley   +1 more source

Abundant stable novel solutions of fractional-order epidemic model along with saturated treatment and disease transmission

open access: yesOpen Physics, 2022
This article proposes and analyzes a fractional-order susceptible, infectious, susceptible (SIS) epidemic model with saturated treatment and disease transmission by employing four recent analytical techniques along with a novel fractional operator.
Khater Mostafa M. A.   +2 more
doaj   +1 more source

Travelling wave solutions and modulation instability analysis of the nonlinear Manakov-system

open access: yesJournal of Taibah University for Science, 2023
In this paper, the accurate closed-form solutions of the Manakov-system are extracted via the extended [Formula: see text]-expansion method, the [Formula: see text]-expansion method and generalized Kudryashov method.
Ghazala Akram   +3 more
doaj   +1 more source

Lie Symmetry Analysis, Traveling Wave Solutions, and Conservation Laws to the (3 + 1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation

open access: yesComplexity, 2020
In this paper, the (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili(BKP) equation is studied applying Lie symmetry analysis. We apply the Lie symmetry method to the (3 + 1)-dimensional generalized BKP equation and derive its symmetry ...
Huizhang Yang, Wei Liu, Yunmei Zhao
doaj   +1 more source

Lie Symmetry Analysis of Kudryashov-Sinelshchikov Equation

open access: yes, 2011
The Lie symmetry method is performed for the fifth-order nonlinear evolution Kudryashov-Sinelshchikov equation. We will find ones and two-dimensional optimal systems of Lie subalgebras.
Vahid Shirvani-Sh, Mehdi Nadjafikhah
core   +1 more source

Optical Soliton Solutions and Modulation Instability of the Higher‐Order Complex Cubic‐Quintic Ginzburg–Landau Equation

open access: yesAdvances in Mathematical Physics, Volume 2026, Issue 1, 2026.
The propagation of ultrashort optical pulses in nonlinear dissipative media is investigated through a generalized higher‐order cubic–quintic complex Ginzburg–Landau equation (HG CQ‐CGLE) incorporating third‐order dispersion (TOD), fourth‐order dispersion (FOD), self‐steepening (SS), and intrapulse Raman scattering (IRS) effects.
Alfred Dang A Mekoung   +3 more
wiley   +1 more source

Home - About - Disclaimer - Privacy