Results 61 to 70 of about 44,082 (308)
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 +5 more
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Complete Integrability of Nonlinear Evolution Equations [PDF]
Progress of Theoretical Physics, 1975 Summary: It is shown that a broad class of nonlinear evolution equations, which have been systematically discussed by Ablowitz, Kaup, Newell and Segur, can be described as the Hamiltonian systems and that these Hamiltonian systems are completely integrable.
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A New Integrable Nonlinear Evolution Equation [PDF]
Progress of Theoretical Physics, 1980 Summary: We show that a new integrable nonlinear evolution equation \(iq_ t+(q/\sqrt{1+| q| ^ 2})_ {xx}=0\) is solved exactly by the inverse scattering method. From the Gelfand-Levitan equation, a one-soliton solution is obtained. It is found that a one-soliton solution has two interesting limits, a small amplitude soliton and a bursting soliton.
Shimizu, Toru, Wadati, Miki
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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 +8 more
wiley +1 more source
Extended transformed rational function method to nonlinear evolution equations
, 2019 In this work, we study complexiton solutions to a (2+1)-dimensional (SK) equation and a (3+1)dimensional nonlinear evolution equation. The complexiton solutions are combinations of trigonometric function waves and exponential function waves.
Adem, Abdullahi Rashid +2 more
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Travelling wave solutions of nonlinear evolution equations by using the first integral method [PDF]
, 2009 WOS: 000264296000004In this paper, we established travelling wave Solutions for some (2 + 1)-dimensional nonlinear evolution equations. The first integral method was used to construct travelling wave solutions of nonlinear evolution equations.
Koparan, Murat +2 more
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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
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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 +2 more
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Advanced Engineering Materials, EarlyView.This study presents a reversible temperature sensor with high switching ratio, ∼103. The device is fabricated using PET‐ITO and carbon nanotube dispersions in alkane. Considering its application in cold chain logistics, a proof‐of‐concept with LED is showcased. Thus, a temperature drop below the threshold temperature (crystallization temperature of the
Sunil Kumar Behera +8 more
wiley +1 more source
A novel scheme for nonlinear evolution equations using symbolic computations
, 2019 In this study a novel method, namely multiple exponential function scheme is performed for nonlinear evolution equations. Based on first order auxiliary equations, one-, two-, and three-wave solutions can be established by using computerized symbolic ...
Yaşar, E., Adem, A.R., Yıldırım, Y.
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