Results 71 to 80 of about 654 (181)

Elastic Curves With Variable Bending Stiffness

Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.
ABSTRACT We study stationary points of the bending energy of curves γ:[a,b]→Rn$\gamma: [a,b]\rightarrow \mathbb {R}^n$ subject to constraints on the arc length and the curve's holonomy while simultaneously allowing for a variable bending stiffness along the arc length of the curve.
Oliver Gross, Ulrich Pinkall, Moritz Wahl   +2 more
wiley   +1 more source

Analyzing chaos and superposition of lump waves with other waves in the time-fractional coupled nonlinear schördinger equation.

PLoS ONE
This article aims to study the time fractional coupled nonlinear Schrödinger equation, which explains the interaction between modes in nonlinear optics and Bose-Einstein condensation.
Sheikh Zain Majid, Muhammad Imran Asjad, Muhammad Bilal Riaz, Taseer Muhammad   +3 more
doaj   +1 more source

Novel Nonlinear Dynamical Solutions to the (2 + 1)‐Dimensional Variable Coefficients Equation Arise in Oceanography

Engineering Reports, Volume 7, Issue 6, June 2025.
This study explores novel nonlinear dynamical solutions to the (2 + 1)‐dimensional variable coefficient equation in oceanography. Using the Hirota bilinear method, we derive multi‐soliton, M‐lump, and hybrid wave solutions, revealing collision phenomena and their physical significance in nonlinear fluid dynamics and mathematical physics.
Hajar F. Ismael, Tukur Abdulkadir Sulaiman, Harivan R. Nabi, Shams Forruque Ahmed   +3 more
wiley   +1 more source

Solitonic behaviors in the coupled Drinfeld-Sokolov-Wilson system with fractional dynamics

AIMS Mathematics
I investigated soliton phenomena in a prominent nonlinear fractional partial differential equation (FPDE) namely the conformable coupled Drinfeld-Sokolov-Wilson system (CCDSWS) using a novel variant of the novel extended direct algebraic method (EDAM ...
Naher Mohammed A. Alsafri
doaj   +1 more source

Quantitative analysis of soliton molecules in the (2 + 1)-Dimensional Double-Chain DNA system with beta derivative: Novel insights from an analytical approach

Ain Shams Engineering Journal
This study employs the unified method to analyze fractional-order DNA systems and constructs various soliton solutions. These include kink, anti-kink, singular, singular-periodic, periodic, and hybrid solitons in different parameter regimes.
Dipankar Kumar, Gour Chandra Paul
doaj   +1 more source

Exploring the optical soliton and solitary wave solutions for the nonlinear Akbota equation via improved expansion approach

AIP Advances
In the present research, we explored the various kinds of optical solitons and many other solitary wave solutions for the nonlinear Akbota equation by utilizing the symbolic computational simulation on the basis of the improved F-expansion approach.
Mujahid Iqbal, Jianqiao Liu, Waqas Ali Faridi, Huda Daefallh Alrashdi, Abeer Aljohani, David Yaro, Salma Aljawi, Abdullah Saad Alsubaie   +7 more
doaj   +1 more source

Interaction of Solitons for Sine-Gordon-Type Equations

Journal of Mathematics, 2013
The subject of our consideration is a family of semilinear wave equations with a small parameter and nonlinearities which provide the existence of kink-type solutions (solitons).
Georgii A. Omel’yanov, Israel Segundo-Caballero   +1 more
doaj   +1 more source

Finite and infinite soliton and kink-soliton trains of nonlinear Schr��dinger equations

, 2014
To appear in Proceedings of the Sixth International Congress of Chinese Mathematicians (ICCM 2013)
Le Coz, Stefan, Tsai, Tai-Peng
openaire   +3 more sources

Exploring dynamical features like bifurcation assessment, sensitivity visualization, and solitary wave solutions of the integrable Akbota equation

Nonlinear Engineering
The Akbota equation (AE), as a Heisenberg ferromagnetic-type equation, can be extremely valuable in the study of curve and surface geometry. In this study, we employ the well-known two analytical techniques, the modified Khater method and the new sub ...
Chou Dean, Sagher Azad Ali, Asjad Muhammad Imran, Hamed Yasser Salah   +3 more
doaj   +1 more source

Exploring Kink Solitons in the Context of Klein–Gordon Equations via the Extended Direct Algebraic Method

Mathematics
This work employs the Extended Direct Algebraic Method (EDAM) to solve quadratic and cubic nonlinear Klein–Gordon Equations (KGEs), which are standard models in particle and quantum physics that describe the dynamics of scaler particles with spin zero in
Saleh Alshammari, Othman Abdullah Almatroud, Mohammad Alshammari, Hamzeh Zureigat, M. Mossa Al-Sawalha   +4 more
doaj   +1 more source