Results 51 to 60 of about 12,646 (189)

Exploration of novel solitary waves in presence of higher order polynomial nonlinearity and spatio-temporal dispersion via itô calculus

Alexandria Engineering Journal
This study investigates highly stochastic solitary waves inside the structure of nonlinear Schrödinger equation of eighth-order, characterized by heightened polynomial nonlinearity and influenced by multiplicative white noise modeled in the Itô sense. To
Nauman Raza, Saima Arshed, Mustafa Bayram, Kottakkaran Sooppy Nisar, Wedad Albalawi, Mona Mahmoud, Hegagi M. Ali   +6 more
doaj   +1 more source

On the Limiting Stokes' Wave of Extreme Height in Arbitrary Water Depth

, 2018
As mentioned by Schwartz (1974) and Cokelet (1977), it was failed to gain convergent results of limiting Stokes' waves in extremely shallow water by means of perturbation methods even with the aid of extrapolation techniques such as Pad\'{e} approximant.
Liao, Shijun, Zhong, Xiaoxu
core   +1 more source

An application of Nwogu’s Boussinesq model to analyze the head-on collision process between hydroelastic solitary waves

Open Physics, 2019
This article deals with the nonlinear head-on collision between two hydroelastic solitary waves in plate–covered water with Nwogou’s Boussinesq model for the nonlinear fluid motion.
Bhatti Muhammad Mubashir, Lu Dong-Qiang
doaj   +1 more source

Mathematical Modeling of Rogue Waves: A Survey of Recent and Emerging Mathematical Methods and Solutions

Axioms, 2018
Anomalous waves and rogue events are closely associated with irregularities and unexpected events occurring at various levels of physics, such as in optics, in oceans and in the atmosphere. Mathematical modeling of rogue waves is a highly active field of
Sergio Manzetti
doaj   +1 more source

Research progress and current status of dynamic wave propagation characteristics in rock mass: A review

Deep Underground Science and Engineering, EarlyView.
This review elucidates the velocity–dispersion–attenuation coupling mechanisms of wave propagation in rock masses, compares six representative models, and reveals how pressure, temperature, mineral composition, and anisotropy jointly control dynamic responses in complex geological media.
Jiajun Shu, Tao Li, Ruiqi Yuan, Yue Li, Bingni Wu, Bo Liu, Zhengding Deng, Galindo Rubén, Fausto Molina‐Gómez   +8 more
wiley   +1 more source

Interactions of large amplitude solitary waves in viscous fluid conduits [PDF]

, 2014
The free interface separating an exterior, viscous fluid from an intrusive conduit of buoyant, less viscous fluid is known to support strongly nonlinear solitary waves due to a balance between viscosity-induced dispersion and buoyancy-induced ...
El, Gennady A., Hoefer, Mark A., Lowman, Nicholas K.   +2 more
core   +4 more sources

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

Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations [PDF]

, 2013
After we derive the Serre system of equations of water wave theory from a generalized variational principle, we present some of its structural properties.
Abramowitz, Antnonopoulos, Barth, Barth, DENYS DUTYKH, DIDIER CLAMOND, DIMITRIOS MITSOTAKIS, Dougalis, Ghidaglia, Isaacson, Kolgan, Lamb, Mei, PAUL MILEWSKI, Petrov, Seabra-Santos, Stoker, van Leer, Zheleznyak, Zheleznyak   +19 more
core   +7 more sources

Efficient Harvesting of Irregular and Low‐Frequency Mechanical Energy via Hybridized Electromagnetic‐Triboelectric Systems

Small, EarlyView.
ABSTRACT The rapid expansion of the Internet of Things (IoT) and wearable electronics necessitates sustainable power sources to replace the limited electrochemical battery. While mechanical energy harvesting offers a promising solution, traditional harvesters face challenges of irregular and low−frequency environmental sources. This review presents the
Yongbin Han, Ju‐Hyuck Lee, Hong‐Joon Yoon   +2 more
wiley   +1 more source

Constructing Traveling Wave Solutions via a Generalized Expansion Method for Nonlinear Evolution Equations Possessing Variable Coefficients

Advances in Mathematical Physics
In this article, a highly generalized way of studying nonlinear evolution equations (NLEEs) with time-dependent variable coefficients is provided. The innovative exact solutions of the Kadomtsev–Petviashvili (KP) equation and the modified Korteweg–de ...
Abdul Saboor, Xianhua Song, Muhammad Shakeel, Muhammad Qamar Fareed, Baboucarr Ceesay   +4 more
doaj   +1 more source