Results 91 to 100 of about 17,079 (203)

Cohomogeneity one Ricci Solitons from Hopf Fibrations

, 2019
This paper studies cohomogeneity one Ricci solitons. If the isotropy representation of the principal orbit $G/K$ consists of two inequivalent $Ad_K$-invariant irreducible summands, the existence of parameter families of non-homothetic complete steady and
Wink, Matthias
core  

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

Propagation of nonlinear dynamics in atomic chains using chaos theory

Ain Shams Engineering Journal
This article presents a variety of novel soliton solutions and a comprehensive dynamical analysis for a complex nonlinear equation modeling the behavior of nonlinear atomic chains with long-range interactions.
Beenish, Maria Samreen, Adil Jhangeer
doaj   +1 more source

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

Engineering Reports
This article examines the (2 + 1)‐dimensional variable coefficient KdV‐type equation that arises in oceanography. Oceanography is the science of studying the oceans.
Hajar F. Ismael, Tukur Abdulkadir Sulaiman, Harivan R. Nabi, Shams Forruque Ahmed   +3 more
doaj   +1 more source

Dynamical behavior of water wave phenomena for the 3D fractional WBBM equations using rational sine-Gordon expansion method

Scientific Reports
To examine the dynamical behavior of travelling wave solutions of the water wave phenomenon for the family of 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) equations, this work employs the rational Sine-Gordon expansion (RSGE) approach based on the ...
Abdulla-Al- Mamun, Chunhui Lu, Samsun Nahar Ananna, Md Mohi Uddin   +3 more
doaj   +1 more source

Intrinsic dynamics of lumps and multi-soliton solutions to the higher dimensional Boussinesq model

Partial Differential Equations in Applied Mathematics
This research investigates diverse wave behaviors of innovative higher dimensional Boussinesq model (BM) based on Hirota bi-linear technique. From this, firstly we derive lump and multiple soliton solutions.
M. Belal Hossen, Md. Towhiduzzaman, Mst. Shekha Khatun, Harun-Or- Roshid, Md. Amanat Ullah   +4 more
doaj   +1 more source

Two integrable extensions of the Kadomtsev-Petviashvili equation

Open Physics, 2011
Wazwaz Abdul-Majid
doaj   +1 more source

Soliton structures of fractional coupled Drinfel’d–Sokolov–Wilson equation arising in water wave mechanics

Scientific Reports
This article delves into the dynamic constructions of distinctive traveling wave solutions for wave circulation in shallow water mechanics, specifically addressing the time-fractional couple Drinfel’d–Sokolov–Wilson (DSW) equation.
Nur Hasan Mahmud Shahen, Md. Al Amin, Foyjonnesa, M. M. Rahman   +3 more
doaj   +1 more source

Rational Sine-Gordon expansion method to analyze the dynamical behavior of the time-fractional phi-four and (2 + 1) dimensional CBS equations

Scientific Reports
This study uses the rational Sine-Gordon expansion (RSGE) method to investigate the dynamical behavior of traveling wave solutions of the water wave phenomena for the time-fractional phi-four equation and the (2 + 1) dimensional Calogero-Bogoyavlanskil ...
Abdulla-Al- Mamun, Chunhui Lu, Samsun Nahar Ananna, Md Mohi Uddin   +3 more
doaj   +1 more source

Nonlinear Optical Characteristics of Copper Oxide Thin Films Interpreted Through Soliton Solutions of the Convective–Diffusive Cahn–Hilliard Equation

Mathematics
This study investigates the convective–diffusive Cahn–Hilliard equation, a nonlinear model which is used in real-world applications to phase separation and material pattern formation. Using the modified Sardar sub-problem technique, which is an extension
Nan Xing, Umair Asghar, Khaleel Ahmad, Luminita-Ioana Cotirla   +3 more
doaj   +1 more source