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Applied Mathematics and Computation, 2009
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Nikolay K. Vitanov +2 more
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Nikolay K. Vitanov +2 more
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Studies in Applied Mathematics, 2001
This is a review of solutions of the vorticity equation for two‐dimensional flow of an inviscid incompressible fluid that represent nonlinear waves. Geophysical applications are emphasized. Some of the solutions are valid in the beta‐plane of Rossby. Some are related to weakly nonlinear perturbations of basic parallel flows and axisymmetric flows, to ...
Barcilon, A., Drazin, P. G.
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This is a review of solutions of the vorticity equation for two‐dimensional flow of an inviscid incompressible fluid that represent nonlinear waves. Geophysical applications are emphasized. Some of the solutions are valid in the beta‐plane of Rossby. Some are related to weakly nonlinear perturbations of basic parallel flows and axisymmetric flows, to ...
Barcilon, A., Drazin, P. G.
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1984
This review shows how nonlinear wave generation makes an essential contribution to the near field structure of ship wakes. Many photographs of ship wakes in the laboratory are presented, all of which show evidence of the nonlinear character of the waves at generation.
Miyata, Hideaki, Inui, Takao
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This review shows how nonlinear wave generation makes an essential contribution to the near field structure of ship wakes. Many photographs of ship wakes in the laboratory are presented, all of which show evidence of the nonlinear character of the waves at generation.
Miyata, Hideaki, Inui, Takao
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Nonlinear waves in materials with mixed nonlinearity
Wave Motion, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kluwick, A., Cox, E. A.
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Nonlinear Electromagnetic X Waves
Physical Review Letters, 2003Nonlinear optical media that are normally dispersive support a new type of localized (nondiffractive and nondispersive) wave packets that are X shaped in space and time and have slower than exponential decay. High-intensity X waves, unlike linear ones, can be formed spontaneously through a trigger mechanism of conical emission, thus playing an ...
CONTI C. +6 more
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Physica D: Nonlinear Phenomena, 1988
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The Physics of Fluids, 1971
A numerical solution of the equations for unstable electrostatic plasma waves propagating in a uniform infinite plasma with a weak beam is performed. Space dependent variables are Fourier transformed and the computations are done first with only one and then with two harmonics included.
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A numerical solution of the equations for unstable electrostatic plasma waves propagating in a uniform infinite plasma with a weak beam is performed. Space dependent variables are Fourier transformed and the computations are done first with only one and then with two harmonics included.
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Acta Mathematica Scientia, 1983
In this paper, the author has formulated the gravity wave problem, considering a layer of incompressible, inviscid fluid with uniform depth in the gravity field, in terms of a variational principle. Based on the idea that a dominate mode exists for water waves of finite amplitude, using a variational method the author has derived a set of mode ...
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In this paper, the author has formulated the gravity wave problem, considering a layer of incompressible, inviscid fluid with uniform depth in the gravity field, in terms of a variational principle. Based on the idea that a dominate mode exists for water waves of finite amplitude, using a variational method the author has derived a set of mode ...
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2005
Computer algebra system is applied for studying the elastic torsional nonlinear waves in a rod using the second order approximation. It is shown that the nonlinear correction to the classic linear solution is a combination of a stationary longitudinal wave, a progressive longitudinal wave, and a progressive transverse wave.
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Computer algebra system is applied for studying the elastic torsional nonlinear waves in a rod using the second order approximation. It is shown that the nonlinear correction to the classic linear solution is a combination of a stationary longitudinal wave, a progressive longitudinal wave, and a progressive transverse wave.
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1979
Abstract : There were a number of significant accomplishments during the past 3 years. In this period, 12 papers were published in refereed journals, 4 papers were published as chapters in books and conference proceedings, 7 papers were accepted for publication, and 28 invited lectures were presented.
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Abstract : There were a number of significant accomplishments during the past 3 years. In this period, 12 papers were published in refereed journals, 4 papers were published as chapters in books and conference proceedings, 7 papers were accepted for publication, and 28 invited lectures were presented.
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