Results 91 to 100 of about 52,211 (225)

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

The bilinear neural network method for solving Benney–Luke equation

Partial Differential Equations in Applied Mathematics
Benney–Luke equation, the estimation of water wave propagation on the water’s surface, is significantly important in studying the tension of water waves in physics.
Nguyen Minh Tuan, Sanoe Koonprasert, Sekson Sirisubtawee, Phayung Meesad   +3 more
doaj   +1 more source

A simple and direct method for generating travelling wave solutions for nonlinear equations

, 2007
We propose a simple and direct method for generating travelling wave solutions for nonlinear integrable equations. We illustrate how nontrivial solutions for the KdV, the mKdV and the Boussinesq equations can be obtained from simple solutions of linear ...
A. Silva, Ablowitz, Ablowitz, Ablowitz, Almeida, Ashok Das, Bazeia, Bazeia, Bazeia, Boussinesq, D. Bazeia, Das, Dickey, Drazin, Faddeev, Gardner, Hirota, Korteweg, L. Losano, Lax, Lax, Mathieu, Miura, Olver, Whitham, Zakharov, Zakharov, Zakharov   +27 more
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

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

Two-photon paired solitons supported by medium polarization

, 2014
We derive for the first time fundamental equations that describe soliton spatial profiles consisting of two-photon mode fields and macroscopic polarization of medium.
Sasao, N., Yoshimura, M.
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

Soft Colloidal Robots: Magnetically Guided Liquid Crystal Torons for Targeted Micro‐Cargo Delivery

Small, EarlyView.
Torons, topological quasiparticles in liquid crystals, can be propelled using electric fields and precisely steered with magnetic alignment, enabling programmable motion without fluid flow. In microfluidic channels, they transport colloidal cargo and exhibit novel dynamic behavior. Their uniformity, softness, and reconfigurability make torons ideal for
Joel Torres‐Andrés, Rodrigo C. V. Coelho, Patrick Oswald, Francesc Sagués, Jordi Ignés‐Mullol   +4 more
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

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