Results 11 to 20 of about 827 (156)
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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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
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Computational modeling of wave propagation in plasma physics over the Gilson–Pickering equation
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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Highly nonlinear solitary waves in heterogeneous periodic granular media [PDF]
17 pages, 2 tables, 12 figures (several with multiple panels)
Porter, MA +4 more
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Novel Optical Solitary Wave Structure Solution of Lakshmanan-Porsezian-Daniel Model
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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Highly nonlinear solitary waves in chains of ellipsoidal particles
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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Fractal modification of complex Ginzburg–Landau model arising in the oscillating phenomena
The complex Ginzburg-Landau Equation (CGLE) is one of the non-trivial models for addressing the dynamics of oscillating, highly nonlinear processes right before the start of oscillations. This paper presents the complex Ginzburg-Landau fractal model with
Yasir Khan
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Solitary wave analysis of the Kadomtsev–Petviashvili model in mathematical physics
The (3 + 1)-dimensional Kadomtsev–Petviashvili equation has significant applications that emerge in the study of fluids and multi-component plasmas. The main object of our study is to investigate stable and efficient solitary solutions to the stated wave
Md. Ekramul Islam +5 more
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Coupling mechanism of highly nonlinear solitary waves with damaged composite material plates [PDF]
The coupling interaction between nonlinear solitary waves in one-dimensional granular chains and damaged composite material plates is considered. Based on Hertz contact law and meso-mechanical model of stiffness reduction of composite material plates when the fiber breakage is the main damage mode, the coupled differential equations of particle chains ...
Jie Zhao, Yan Wang, Hao Wu, Miao Ruan
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A Solitary Wave-Based Sensor to Monitor the Setting of Fresh Concrete
We present a proof-of-principle study about the use of a sensor for the nondestructive monitoring of strength development in hydrating concrete. The nondestructive evaluation technique is based on the propagation of highly nonlinear solitary waves (HNSWs)
Piervincenzo Rizzo +3 more
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