Results 61 to 70 of about 998,269 (325)

The Improved exp⁡-Φξ-Expansion Method and New Exact Solutions of Nonlinear Evolution Equations in Mathematical Physics

Advances in Mathematical Physics, 2019
The exp(-Φ(ξ))-expansion method is improved by presenting a new auxiliary ordinary differential equation for Φ(ξ). By using this method, new exact traveling wave solutions of two important nonlinear evolution equations, i.e., the ill-posed Boussinesq ...
Guiying Chen, Xiangpeng Xin, Hanze Liu
doaj   +1 more source

A nonlinear analysis of surface acoustic waves in isotropic elastic solids

Theoretical and Applied Mechanics Letters, 2022
With the fast evolution of wireless and networking communication technology, applications of surface acoustic wave (SAW), or Rayleigh wave, resonators are proliferating with fast shrinking sizes and increasing frequencies.
Haoxiang Wu, Rongxing Wu, Tingfeng Ma, Zixiao Lu, Honglang Li, Ji Wang   +5 more
doaj   +1 more source

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

An analytical method for finding exact solutions of modified Korteweg–de Vries equation

Results in Physics, 2015
In this present work, we have studied new extension of the (G′/G)-expansion method for finding the solitary wave solutions of the modified Korteweg–de Vries (mKdV) equation. It has been shown that the proposed method is effective and can be used for many
Md. Shafiqul Islam, Kamruzzaman Khan, M. Ali Akbar   +2 more
doaj   +1 more source

Evolution equation for nonlinear Lucassen waves [PDF]

The Journal of the Acoustical Society of America, 2019
A nonlinear, fractional, surface-wave equation was developed recently by Kappler et al. [Phys. Rev. Fluids 2, 114804 (2017)] for propagation along an elastic interface coupled to a viscous incompressible medium. Linear theory for attenuation and dispersion of such a wave was developed originally by Lucassen [Trans. Faraday Soc.
Blake E. Simon, John M. Cormack, Mark F. Hamilton   +2 more
openaire   +1 more source

Planar Solid‐State Nanopores Toward Scalable Nanofluidic Integration Based on CMOS Technology

Advanced Engineering Materials, EarlyView.
We present a scalable silicon‐based fabrication strategy for planar solid‐state nanopores to enable their integration with complex nanofluidic systems. Prototype devices demonstrate normal voltage‐current characteristics, good noise performance, and appreciable streaming currents. Our CMOS‐compatible fabrication process offers precise geometric control
Ngan Hoang Pham, Chenyu Wen, Mohammad Hadi Khaksaran, Won‐Yong Lee, Javier Cruz, Klas Hjort, Dongping Wu, Shi‐Li Zhang   +7 more
wiley   +1 more source

Divergence-free algorithms for solving nonlinear differential equations on quantum computers

Physical Review Research
From weather to neural networks, modeling is not only useful for understanding various phenomena but also has a wide range of potential applications. Although nonlinear differential equations are extremely useful tools in modeling, their solutions are ...
Katsuhiro Endo, Kazuaki Z. Takahashi
doaj   +1 more source

Multi-order fractional nonlinear evolution equations system

Partial Differential Equations in Applied Mathematics
In this paper, the existence and uniqueness of a solution to a multi-order fractional nonlinear evolution equations system are studied by applying Banach’s Fixed Point Theorem and some properties of solution operators associated with the system.
Bambang Hendriya Guswanto, Suroto, Najmah Istikaanah   +2 more
doaj   +1 more source

On the existence of equations of evolution

International Journal of Mathematics and Mathematical Sciences, 1984
A time-independent, non-autonomous non-linear system governed by a principle of determinism (the state at a given time is determined by the initial state and by the control history during the intervening closed interval) is shown to obey a generalized ...
J. Lubliner
doaj   +1 more source

Relativistic Dynamics of Vector Bosons in the Field of Gravitational Radiation [PDF]

, 2001
We consider a model of the state evolution of relativistic vector bosons, which includes both the dynamical equations for the particle four-velocity and the equations for the polarization four-vector evolution in the field of a nonlinear plane ...
Balakin, A. B., Kurbanova, V.
core   +3 more sources