Results 31 to 40 of about 94,822 (286)
Solitary waves and Bohmian mechanics [PDF]
Proceedings of the National Academy of Sciences, 2002 We study a Schrödinger-like equation with a nonlinear term. This nonlinearity has the effect of allowing the existence of highly concentrated stable solitary waves of a topological nature. Such solitary waves tend to move according to Bohmian mechanics. Therefore our model can be considered a nonsingular realization of de Broglie pilot wave theory.
ABBONDANDOLO, ALBERTO, BENCI, VIERI
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Do peaked solitary water waves indeed exist?
, 2013 Many models of shallow water waves admit peaked solitary waves. However, it is an open question whether or not the widely accepted peaked solitary waves can be derived from the fully nonlinear wave equations.
Alam +55 more
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MAPS, PDE'S AND SOLITARY WAVES
International Journal of Bifurcation and Chaos, 1995 We describe a map-based model which reproduces many of the behaviors seen in partial differential equations (PDE's). Like PDE's, we show that this model can support an infinite number of stationary solutions, traveling solutions, breathing solutions, and elastically colliding solutions. Unlike PDE's, the model can be applied with minimal computational
Shinbrot, Troy, Ottino, J. M.
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Bright solitary waves in a Bose-Einstein condensate and their interactions
, 2008 We examine the dynamics of two bright solitary waves with a negative nonlinear term. The observed repulsion between two solitary waves -- when these are in an antisymmetric combination -- is attributed to conservation laws.
Jackson, A. D. +2 more
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Experimental evidence of solitary wave interaction in Hertzian chains
, 2011 We study experimentally the interaction between two solitary waves that approach one to another in a linear chain of spheres interacting via the Hertz potential.
Aude Caussarieu +10 more
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Bifurcation Phenomena of Nonlinear Waves in a Generalized Zakharov-Kuznetsov Equation
Advances in Mathematical Physics, 2013 We study the bifurcation phenomena of nonlinear waves described by a generalized Zakharov-Kuznetsov equation ut+au2+bu4ux+γuxxx+δuxyy=0. We reveal four kinds of interesting bifurcation phenomena.
Yun Wu, Zhengrong Liu
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East European Journal of PhysicsThe current paper recovers hybrid solitary waves for double–layered shallow water waves with the basic platform being the mKdV equation. The selected models are the Zaremaoghaddam equation and the Gear–Grimshaw equation. The integration algorithm adopted
Lakhveer Kaur +5 more
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Abstract and Applied Analysis, 2014 We solve the so-called dissipative nonlinear Schrödinger equation by means of multiple scales analysis and perturbation method to describe envelope solitary Rossby waves with dissipation effect in stratified fluids.
Yunlong Shi +4 more
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Numerical simulation of capillary gravity waves excited by an obstacle in shallow water; pp. 278–284 [PDF]
Proceedings of the Estonian Academy of Sciences, 2015 Capillary gravity waves excited by an obstacle are investigated by numerical simulations. Under the resonant condition for which large-amplitude solitary waves are generated, solutions of the Euler equations show that the capillary effects induce the ...
Motonori Hirata +2 more
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On the generation of solitary waves observed by Cluster in the near-Earth magnetosheath [PDF]
Nonlinear Processes in Geophysics, 2005 Through case studies involving Cluster waveform observations, solitary waves in the form of bipolar and tripolar pulses have recently been found to be quite abundant in the near-Earth dayside magnetosheath.
J. S. Pickett +16 more
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