Search Results - "Grimshaw, Roger H J"
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Evolution of Water Wave Groups in the Forced Benney–Roskes System
Published in Fluids (Basel) (01-02-2023)“…For weakly nonlinear waves in one space dimension, the nonlinear Schrödinger Equation is widely accepted as a canonical model for the evolution of wave groups…”
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Amplification of Wave Groups in the Forced Nonlinear Schrödinger Equation
Published in Fluids (Basel) (01-07-2022)“…In many physical contexts, notably including deep-water waves, modulation instability in one space dimension is often studied by using the nonlinear…”
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Brief communication: Modulation instability of internal waves in a smoothly stratified shallow fluid with a constant buoyancy frequency
Published in Natural hazards and earth system sciences (19-03-2019)“…Unexpectedly large displacements in the interior of the oceans are studied through the dynamics of packets of internal waves, where the evolution of these…”
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The Hydrodynamic Nonlinear Schrödinger Equation: Space and Time
Published in Fluids (Basel) (01-09-2016)“…The nonlinear Schrödinger equation (NLS) is a canonical evolution equation, which describes the dynamics of weakly nonlinear wave packets in time and space in…”
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An extended equatorial plane: linear spectrum and resonant triads
Published in Geophysical and astrophysical fluid dynamics (02-01-2014)“…The usual equatorial -plane supports a range of wave types, including trapped baroclinic Rossby waves, a Yanai wave and a Kelvin wave, which are known to be…”
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Solitons in nonintegrable systems
Published in Chaos (Woodbury, N.Y.) (01-09-2005)“…We introduce the concept of this special focus issue on solitons in nonintegrable systems. A brief overview of some recent developments is provided, and the…”
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The effect of depth-dependent distribution of bubbles on internal waves
Published in The Journal of the Acoustical Society of America (01-05-2007)“…A new type of gravity waves associated with the subsurface layers of bubbles existing ubiquitously in the ocean is considered. Due to bubble compressibility,…”
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