Results 101 to 110 of about 117,223 (220)

Construction of multi-solitons for the energy-critical wave equation in dimension 5

, 2015
We construct 2-solitons of any speed of the focusing energy-critical nonlinear wave equation in dimension 5. The existence result also holds for the case of K-solitons, for any K >2, assuming that the speeds are collinear.
Martel, Yvan, Merle, Frank
core   +2 more sources

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Perturbed Bott algebraic Schouten solitons on 3D Lorentzian Lie groups

Electronic Research Archive
In this paper, we defined and classified the algebraic Schouten solitons that are associated with the perturbed Bott connection on three-dimensional Lorentzian Lie groups possessing three distinct distributions.
Xinrui Li, Jiajing Miao, Haiming Liu
doaj   +1 more source

Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
wiley   +1 more source

Analysis of periodic wave soliton structure for the wave propagation in nonlinear low–pass electrical transmission lines through analytical technique

Ain Shams Engineering Journal
In the present research, the nonlinear electrical equation named low–pass electrical transmission lines (LPETLs) equation under examination through extended simple equation approach.
Mujahid Iqbal, Jianqiao Liu, Aly R. Seadawy, Huda Daefallh Alrashdi, Reem Algethamie, Abeer Aljohani, Ce Fu   +6 more
doaj   +1 more source

Two-dimensional matter-wave solitons and vortices in competing cubic-quintic nonlinear lattices

, 2017
The nonlinear lattice---a new and nonlinear class of periodic potentials---was recently introduced to generate various nonlinear localized modes. Several attempts failed to stabilize two-dimensional (2D) solitons against their intrinsic critical collapse
Gao, Xuzhen, Zeng, Jianhua
core   +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

Mathematical Methods in the Applied Sciences, EarlyView.
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, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Ricci Solitons on Lorentzian Manifolds with Large Isometry Groups

, 2010
We show that Lorentzian manifolds whose isometry group is of dimension at least $\frac{1}{2}n(n-1)+1$ are expanding, steady and shrinking Ricci solitons and steady gradient Ricci solitons.
Batat, W., Brozos-Vazquez, M., Garcia-Rio, E., Gavino-Fernandez, S.   +3 more
core   +1 more source

Electrospun conducting polymers: recent trends and the transition towards a sustainable future

Polymer International, EarlyView.
This review discusses the electrospinning of conducting polymers, detailing procedures, fibrous morphologies, improved properties, applications in electronics, and challenges, while outlining future directions for nanofibre‐based devices in various fields.
Xenofon Karagiorgis, Sofia Sandhu, Peter J. Skabara, Ravinder Dahiya   +3 more
wiley   +1 more source

Beam Steering in Nonlocal Mediumwith Competing Nonlinearities

Journal of Harbin University of Science and Technology, 2017
Nonlocal spatial solitons have potential applications in all-optical signal processing and optical interconnects due to their low power and particle-like nature on interactions.
PU Shao-zhi, MA Yu, ZHANG Liu-yang, HUANG Jin-zhe   +3 more
doaj   +1 more source