Results 91 to 100 of about 51,663 (217)

On Non‐Compact Extended Bach Solitons

Mathematische Nachrichten, EarlyView.
ABSTRACT We study the characterization of non‐compact solitons of the extended Bach flow, known as an extended Bach soliton. We prove that a weakly conformally flat extended Bach soliton (Mn,g,V)$(M^n,g,V)$ with harmonic Weyl tensor is Bach‐flat and the potential vector field V$V$ is conformal.
Rahul Poddar
wiley   +1 more source

Soliton, quasi-soliton, and their interaction solutions of a nonlinear (2 + 1)-dimensional ZK–mZK–BBM equation for gravity waves

Open Physics
The ZK–mZK–BBM equation plays a crucial role in actually depicting the gravity water waves with the long wave region. In this article, the bilinear forms of the (2 + 1)-dimensional ZK–mZK–BBM equation were derived using variable transformation. Then, the
Wang Chunxia, Yin Xiaojun, Cao Na, Xu Liyang, Bai Shuting   +4 more
doaj   +1 more source

Complex Soliton Solutions to the Gilson–Pickering Model

Axioms, 2019
In this paper, an analytical method based on the Bernoulli differential equation for extracting new complex soliton solutions to the Gilson⁻Pickering model is applied.
Haci Mehmet Baskonus
doaj   +1 more source

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

Dynamical characteristic of analytical fractional solitons for the space-time fractional Fokas-Lenells equation

Alexandria Engineering Journal, 2020
A new strategy exploiting together the modified Riemann–Liouville fractional derivative rule and two kinds of fractional dual-function methods with the Mittag–Leffler function is presented to solve fractional nonlinear models.
Ben-Hai Wang, Yue-Yue Wang, Chao-Qing Dai, Yi-Xiang Chen   +3 more
doaj   +1 more source

Solitons of Sigma Model on Noncommutative Space as Solitons of Electron System

, 2005
We study the relationship of soliton solutions for electron system with those of the sigma model on the noncommutative space, working directly in the operator formalism.
A.V. Domrin, G. Magro, H. Otsu, H. Otsu, Hideharu Otsu, Hitoshi Ikemori, J. A. Harvey, K. Furuta, L. Hadasz, O. Lechtenfeld, O. Lechtenfeld, R. Gopakumar, Shinsaku Kitakado, Toshiro Sato   +13 more
core   +3 more sources

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

On one-soliton solutions of the Q2 equation in the ABS list

Advances in Difference Equations, 2019
In this paper, we derive seed and 1-soliton solutions of the Q2 equation in the Adler–Bobenko–Suris list. The seed solutions of Q2 are obtained using those of Q1(δ) $\mbox{Q}1(\delta)$ and an non-auto Bäcklund transformation connecting them.
Qiang Cheng, Cheng Zhang, Danda Zhang, Da-jun Zhang   +3 more
doaj   +1 more source

Competent closed form soliton solutions to the Riemann wave equation and the Novikov-Veselov equation

Results in Physics, 2020
The Riemann wave equation and the Novikov-Veselov equation are interesting nonlinear equations in the sphere of tidal and tsunami waves in ocean, river, ion and magneto-sound waves in plasmas, electromagnetic waves in transmission lines, homogeneous and ...
Hemonta Kumar Barman, Aly R. Seadawy, M. Ali Akbar, Dumitru Baleanu   +3 more
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

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