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Showing 1 to 20 of 50 for “"solitary waves"”.
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Collisions of orthogonally polarized solitary waves
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1989.
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Large amplitude solitary waves in space plasmas
… 1-6, deals with nonlinear electro-static waves. In Chapter 1 we introduce the different methods used in the study of onlinear waves, i.e. the reductive perturbation and Sagdeev pseudopotential methods. In Chapter 2 we then develop the alternative fluid-dynamic McKenzie approach. We derive …
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Analysis of solitary waves in inhomogeneous systems
In this thesis, we aim to investigate solitary waves of three nonlinear Schrödinger (NLS)-type models, namely, the NLS equation with an asymmetric double Dirac delta potential, the NLS equation with a Dirac delta potential on star graphs, and the discrete nonlinear Schrödinger (DNLS) equation. For …
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Nonlinear dynamics of three-dimensional solitary waves
… at non-zero wavenumber, kmin. Examples include waves on the surface of a liquid in the presence of both gravity and surface tension, flexural waves on a floating ice sheet, in which case capillarity is replaced by the flexural rigidity of the ice, and internal gravity waves in layered flows in …
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Three-dimensional solitary waves in dispersive wave systems
Fully localized three-dimensional solitary waves, commonly referred to as 'lumps', have received far less attention than two-dimensional solitary waves in dispersive wave systems. Prior studies have focused in the long-wave limit, where lumps exist if the long-wave speed is a minimum of the phase …
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Dynamics and stability of gravity-capillary solitary waves
… it has been recognized that a new class of solitary waves can propagate in nonlinear dispersive wave systems if the phase speed of linear waves attains a local extremum at some finite wavenumber. Near such a point, solitary waves in the form of small-amplitude wavepackets can be obtained for …
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Existence and Stability of Solitary Waves for NLS with Defects
… is to investigate the existence and stability of solitary waves to dispersive partial differential equations and, in particular to nonlinear Schr\"odinger equations with defects nonlinearity. First we identify necessary and sufficient conditions for the existence of appropriately localized waves …
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Experimental And Analytical Investigations Of Solitary Waves On A Beach
… of the flow on a beach, i.e., the swash, due to solitary waves with the objective of understanding the flow processes that govern complex coastal hydrodynamics. The bed shear stress is identified as an important quantity and consequently, a shear plate sensor is developed to make accurate …
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Quantization Of Spin Direction For Solitary Waves in a Uniform Magnetic Field
… are nonlinear wave equations with localized solitary wave solutions. Some of these solitary waves are stable (with respect to a small perturbation of initial data)and have nonzero spin (nonzero intrinsic angular momentum in the centre of momentum frame). In this paper we consider …
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Nonlinear shallow water three-dimensional solitary waves generated by high speed vessels
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Ocean Engineering, 2001.
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A numerical study on the propagation and interaction of strongly nonlinear solitary waves
… nonlinear long wave model for surface gravity waves propagating in both one and two horizontal dimensions. This model often referred to as the Su-Gardner or Green-Naghdi equations can be derived from the Euler equations under the assumption that the ratio between the characteristic wavelength …
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SPH Modeling of Solitary Waves and Resulting Hydrodynamic Forces on Vertical and Sloping Walls
… to accurately quantify these impacts. Extreme waves, such as tsunamis generate, through breaking, extremely powerful hydraulic bores that impact and significantly damage coastal structures and buildings located close to the shoreline. The damage induced by such hydraulic bores is often due to …
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Experimental study of the development of plastic solitary waves in one-dimensional granular media
… deform plastically. These conditions allow for solitary waves, which propagate in the one-dimensional array of elastic spheres, to be studied in the plastic regime. The propagating pulse assumes a distinctive shape after travelling through five beads, and can consequently be realized as a …
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Effect of internal solitary waves on mine detection in the western Philippine Sea east of Taiwan
… attached from July 28-August 7, 2005. Internal waves and internal solitons were identifed during the empirical orthogonal function analysis. Without the IW and IS, the power spectra, structure functions, and singular measures (respresenting the intemittency) of the temprature field satisfy the …
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Strongly nonlinear acoustics of one-dimensional granular sonic vacua
… pulse loses energy in the form of radiating waves in its trail and thus the pulse attenuates in dimer chains with an arbitrary value of mass ratio. Interestingly, at certain discrete values of mass ratios, the energy leakage from the propagating pulse ceases and the pulse propagates without …
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Solitons in Magnetic Systems
… mixtures, with its main focus on the dynamics of solitary waves in such systems in conditions of broken integrability and with reference to the formal and physical analogies between BEC mixtures and the classical magnetization dynamics of solid-state ferromagnets. Chapter 2 introduces the physical …
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Fully nonlinear interfacial waves in a bounded two-fluid system
… develop a theory for fully nonlinear interfacial waves allowing amplitudes as large as the channel thickness. The result is a set of evolution equations for the interfacial shape and the velocity jump across the interface. Linear stability analysis reveals that capillary forces stabilize …
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