Results 41 to 50 of about 171,037 (334)

The Traveling Wave Solutions and Their Bifurcations for the BBM-Like B(m,n) Equations

Journal of Applied Mathematics, 2013
We investigate the traveling wave solutions and their bifurcations for the BBM-like B(m,n) equations ut+αux+β(um)x−γ(un)xxt=0 by using bifurcation method and numerical simulation approach of dynamical systems.
Shaoyong Li, Zhengrong Liu
doaj   +1 more source

Global bifurcation for the Whitham equation

, 2013
We prove the existence of a global bifurcation branch of $2\pi$-periodic, smooth, traveling-wave solutions of the Whitham equation. It is shown that any subset of solutions in the global branch contains a sequence which converges uniformly to some ...
Ehrnstrom, Mats, Kalisch, Henrik
core   +1 more source

Remote Assessment of Ataxia Severity in SCA3 Across Multiple Centers and Time Points

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Spinocerebellar ataxia type 3 (SCA3) is a genetically defined ataxia. The Scale for Assessment and Rating of Ataxia (SARA) is a clinician‐reported outcome that measures ataxia severity at a single time point. In its standard application, SARA fails to capture short‐term fluctuations, limiting its sensitivity in trials.
Marcus Grobe‐Einsler, Vivian Maas, Arian Taheri Amin, Jennifer Faber, Tamara Schaprian, Katharina Hill, Matthis Synofzik, Lisa H. Graf, Heike Jacobi, Manuela Lima, Ana F. Ferreira, Bart P. van de Warrenburg, Ilse H. J. Willemse, Dagmar Timmann, Andreas Thieme, Paola Giunti, Hector Garcia‐Moreno, Magda M. Santana, Jeannette Hübener‐Schmid, Elin H. Davies, Thomas Klockgether   +20 more
wiley   +1 more source

Negative Order KdV Equation with No Solitary Traveling Waves

Mathematics, 2021
We consider the negative order KdV (NKdV) hierarchy which generates nonlinear integrable equations. Selecting different seed functions produces different evolution equations. We apply the traveling wave setting to study one of these equations. Assuming a
Miguel Rodriguez, Jing Li, Zhijun Qiao
doaj   +1 more source

Global well-posedness for the KP-I equation on the background of a non localized solution

, 2006
We prove that the Cauchy problem for the KP-I equation is globally well-posed for initial data which are localized perturbations (of arbitrary size) of a non-localized (i.e. not decaying in all directions) traveling wave solution (e.g.
A.A. Zaitsev, A.S. Fokas, A.S. Fokas, C. Gallo, C. Kenig, C. Kenig, C. Kenig, C.E. Kenig, C.E. Kenig, H. Koch, H. Takaoka, H. Takaoka, J. Bourgain, J. C. Saut, J. Kato, J.-L. Lions, J.C. Alexander, J.C. Saut, L. Molinet, L. Molinet, L. Molinet, L. Molinet, M. Haragus, M. Tajeri, M.D. Groves, M.Jr. Schwarz, M.V. Wickerhauser, N. Burq, N. Tzvetkov, N. Tzvetkov, N.C. Freeman, O. Besov, P. Isaza, R.J. Iório Jr, T. Kato, V. Zakharov, V.E. Zakharov, X. Zhou   +37 more
core   +3 more sources

Microstructural Evolution and Mechanical Performance of Plasma‐Assisted Hybrid Friction Stir Welded Dissimilar Aluminum–Copper Joints

Advanced Engineering Materials, EarlyView.
Plasma‐assisted hybrid friction stir welding of dissimilar AlCu joints employs localized plasma preheating to balance heat input and enhance plastic flow. The optimized process reduces axial force by up to 35%, refines the microstructure, and achieves ≈96% joint efficiency.
Deepak Kumar Yaduwanshi, Pankaj Shrivastava, Ganesh Chouhan, Velaphi Msomi   +3 more
wiley   +1 more source

On the localized wave patterns supported by convection-reaction-diffusion equation

, 2009
A set of traveling wave solution to convection-reaction-diffusion equation is studied by means of methods of local nonlinear analysis and numerical simulation.
Andronov, Barannyk, Barenblatt, Cherniha, Cz. Mączka, Dodd, Fan, Gilding, Guckenheimer, Hassard, Korman, Lou, Nekhamkina, Olver, Olver, Pikovsky, Rosenau, Rosenau, Smoller, Tang, V.A. Vladimirov, Vladimirov, Vladimirov, Vladimirov   +23 more
core   +1 more source

Prospects of Electric Field Control in Perpendicular Magnetic Tunnel Junctions and Emerging 2D Spintronics for Ultralow Energy Memory and Logic Devices

Advanced Functional Materials, EarlyView.
Electric control of magnetic tunnel junctions offers a path to drastically reduce the energy requirements of the device. Electric field control of magnetization can be realized in a multitude of ways. These mechanisms can be integrated into existing spintronic devices to further reduce the operational energy.
Will Echtenkamp, Brahmdutta Dixit, Yifei Yang, Deyuan Lyu, Thomas Peterson, Qi Jia, Yu‐Chia Chen, Jian‐Ping Wang   +7 more
wiley   +1 more source

New applications of the two variable (G′/G, 1/G)-expansion method for closed form traveling wave solutions of integro-differential equations

Journal of Ocean Engineering and Science, 2019
Most fundamental themes in mathematical physics and modern engineering are investigated by the closed form traveling wave solutions of nonlinear evolution equations.
M. Mamun Miah, H.M. Shahadat Ali, M. Ali Akbar, Aly R. Seadawy   +3 more
doaj   +1 more source

An exactly soluble noisy traveling wave equation appearing in the problem of directed polymers in a random medium

, 2004
We calculate exactly the velocity and diffusion constant of a microscopic stochastic model of $N$ evolving particles which can be described by a noisy traveling wave equation with a noise of order $N^{-1/2}$. Our model can be viewed as the infinite range
A. Kolmogorov, Bernard Derrida, D. Carpentier, R. A. Fisher, Éric Brunet   +4 more
core   +1 more source