Highly nonlinear solitary waves in heterogeneous periodic granular media [PDF]
Physica D: Nonlinear Phenomena, 2009 17 pages, 2 tables, 12 figures (several with multiple panels)
Porter, MA +4 more
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Interaction of highly nonlinear solitary waves with linear elastic media [PDF]
Physical Review E, 2011 We study the interaction of highly nonlinear solitary waves in granular crystals, with an adjacent linear elastic medium. We investigate the effects of interface dynamics on the reflection of incident waves and on the formation of primary and secondary reflected waves. Experimental tests are performed to correlate the linear medium geometry, materials,
J. Y. Yang +4 more
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Highly nonlinear solitary waves in chains of ellipsoidal particles [PDF]
Physical Review E, 2011 We study the dynamic response of a one-dimensional chain of ellipsoidal particles excited by a single compressive impulse. We detail the Hertzian contact theory describing the interaction between two ellipsoidal particles under compression, and use it to model the dynamic response of the system.
Ngo, Duc +2 more
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Wireless Module for Nondestructive Testing/Structural Health Monitoring Applications Based on Solitary Waves [PDF]
Sensors, 2020 In recent years, there has been an increasing interest in the use of highly nonlinear solitary waves (HNSWs) for nondestructive evaluation and structural health monitoring applications.
Ritesh Misra +3 more
doaj +2 more sources
Highly nonlinear solitary wave propagation in Y-shaped granular crystals with variable branch angles [PDF]
Physical Review E, 2012 We study the propagation of highly nonlinear waves in a branched (Y-shaped) granular crystal composed of chains of spherical particles of different materials, arranged at variable branch angles. We experimentally test the dynamic behavior of a solitary pulse, or of a train of solitary waves, crossing the Y-junction interface, and splitting between the ...
D. Ngo, FRATERNALI, Fernando, C. Daraio
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Numerical and Experimental Study on the Dynamic Interaction Between Highly Nonlinear Solitary Waves and Pressurized Balls [PDF]
Journal of Applied Mechanics, 2018 This paper discusses the dynamic interaction between a monoatomic chain of solid particles and a thin-walled spherical pressure vessel. The objective is to find a relationship between the highly nonlinear solitary waves (HNSWs) propagating within the chain and the internal pressure of the vessel.
Nasrollahi, Amir +2 more
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Long time dynamics of highly concentrated solitary waves for the nonlinear Schrödinger equation [PDF]
Journal of Differential Equations, 2015 In this paper we study the behavior of solutions of a nonlinear Schroedinger equation in presence of an external potential, which is allowed to be singular at one point. We show that the solution behaves like a solitary wave for long time even if we start from a unstable solitary wave, and its dynamics coincide with that of a classical particle ...
BONANNO, CLAUDIO
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Advances in Mathematical Physics, 2022 This present paper studies the conformable space fractional Burgers, and the time fractional Sharma-Tasso-Olver models; both are highly important for nonlinear diffusive waves in fluid dynamics, sound waves in a viscous medium, and flow in field soils ...
Selina Akter +2 more
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Computational modeling of wave propagation in plasma physics over the Gilson–Pickering equation
Results in Physics, 2023 In this paper, the Gilson–Pickering equation is studied which enables a wave propagation in plasma physics and crystal lattice theory. Based on the auxiliary transformations, some sets of the nonlinear form of ODE along with some analytic solutions are ...
Xia Liu +6 more
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Novel Optical Solitary Wave Structure Solution of Lakshmanan-Porsezian-Daniel Model
Results in Physics, 2023 The Lakshmanan-Porsezian-Daniel (LPD) model, an extended version of the nonlinear Schrödinger equation, plays a crucial role in comprehending optical solitons—self-reinforcing waves that maintain their form while traveling through a medium.
Muhammad Shakeel +3 more
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