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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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
doaj +1 more source
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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Site-Specific Quantification of Bone Quality Using Highly Nonlinear Solitary Waves [PDF]
Osteoporosis is a well recognized problem affecting millions of individuals worldwide. The ability to diagnose problems in an effective, efficient, and affordable manner and identify individuals at risk is essential. Site-specific assessment of bone mechanical properties is necessary, not only in the process of fracture risk assessment, but may also be
J. Yang +6 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
doaj +1 more source
This book is Open Access. A digital copy can be downloaded for free from Wiley Online Library.
Explores the behavior of carbon in minerals, melts, and fluids under extreme conditions
Carbon trapped in diamonds and carbonate-bearing rocks in subduction zones are examples of the continuing exchange of substantial carbon ...
Choong‐Shik Yoo
wiley +1 more source
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 Comparative Study on Three Different Transducers for the Measurement of Nonlinear Solitary Waves
In the last decade there has been an increasing interest in the use of highly- and weakly- nonlinear solitary waves in engineering and physics. Nonlinear solitary waves can form and travel in nonlinear systems such as one-dimensional chains of particles,
Piervincenzo Rizzo +2 more
doaj +1 more source
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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