Search Results - "Grimshaw, R"

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    Interaction of internal solitary waves with long periodic waves within the rotation modified Benjamin–Ono equation by Grimshaw, R.H.J., Smyth, N.F., Stepanyants, Y.A.

    Published in Physica. D (01-05-2021)
    “…The interaction of a solitary wave with a long background periodic wave in a deep ocean is studied within the framework of the rotation modified Benjamin–Ono…”
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    Internal solitary waves: propagation, deformation and disintegration by Grimshaw, R, Pelinovsky, E, Talipova, T, Kurkina, O

    Published in Nonlinear processes in geophysics (17-11-2010)
    “…In coastal seas and straits, the interaction of barotropic tidal currents with the continental shelf, seamounts or sills is often observed to generate…”
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    Depression and elevation tsunami waves in the framework of the Korteweg–de Vries equation by Grimshaw, R., Yuan, C.

    Published in Natural hazards (Dordrecht) (01-11-2016)
    “…Although tsunamis in the deep ocean are very long waves of quite small amplitudes, as they propagate shorewards into shallow water, nonlinearity becomes…”
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    Rogue waves: analytical predictions by Grimshaw, R. H. J., Tovbis, A.

    “…Rogue waves observed in the ocean and elsewhere are often modelled by certain solutions of the nonlinear Schrodinger equation, describing the modulational…”
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    Emergence of Envelope Solitary Waves from Initial Localized Pulses within the Ostrovsky Equation by Grimshaw, R. H. J., Stepanyants, Y. A.

    Published in Radiophysics and quantum electronics (01-06-2020)
    “…We study the emergence of steady wave packets in the form of envelope solitary waves (envelope solitons) which evolve from localized pulse-type initial…”
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    Two-soliton interaction as an elementary act of soliton turbulence in integrable systems by Pelinovsky, E.N., Shurgalina, E.G., Sergeeva, A.V., Talipova, T.G., El, G.A., Grimshaw, R.H.J.

    Published in Physics letters. A (03-01-2013)
    “…Two-soliton interactions play a definitive role in the formation of the structure of soliton turbulence in integrable systems. To quantify the contribution of…”
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    A phase II study of sunitinib in patients with recurrent epithelial ovarian and primary peritoneal carcinoma: an NCIC Clinical Trials Group Study by Biagi, J.J., Oza, A.M., ChalChal, H.I., Grimshaw, R., Ellard, S.L., Lee, U., Hirte, H., Sederias, J., Ivy, S.P., Eisenhauer, E.A.

    Published in Annals of oncology (01-02-2011)
    “…Sunitinib is a multitargeted receptor tyrosine kinase inhibitor. We conducted a two-stage phase II study to evaluate the objective response rate of oral…”
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    The Reduced Ostrovsky Equation: Integrability and Breaking by Grimshaw, R. H. J., Helfrich, Karl, Johnson, E. R.

    Published in Studies in applied mathematics (Cambridge) (01-11-2012)
    “…The reduced Ostrovsky equation is a modification of the Korteweg‐de Vries equation, in which the usual linear dispersive term with a third‐order derivative is…”
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    The effect of rotation on internal solitary waves by Grimshaw, R., Helfrich, K.

    Published in IMA journal of applied mathematics (01-06-2012)
    “…In the weakly nonlinear long-wave regime, internal solitary waves are often modelled by the Korteweg-de Vries equation, which is well known to support an exact…”
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    Internal rogue waves in stratified flows and the dynamics of wave packets by Liu, T.Y., Chan, H.N., Grimshaw, R.H.J., Chow, K.W.

    “…A theoretical study on the occurrence of internal rogue waves in density stratified flows is conducted. While internal rogue waves for long wave models have…”
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    A phase II study of erlotinib (OSI-774) given in combination with carboplatin in patients with recurrent epithelial ovarian cancer (NCIC CTG IND.149) by Hirte, H, Oza, A, Swenerton, K, Ellard, S.L, Grimshaw, R, Fisher, B, Tsao, M, Seymour, L

    Published in Gynecologic oncology (01-09-2010)
    “…Abstract Objectives Approximately 50% of ovarian cancers have elevated levels of epidermal growth factor receptor (EGFR) which correlates with a poor…”
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    Asymptotic description of solitary wave trains in fully nonlinear shallow-water theory by El, G.A., Grimshaw, R.H.J., Smyth, N.F.

    Published in Physica. D (01-10-2008)
    “…We derive an asymptotic formula for the amplitude distribution in a fully nonlinear shallow-water solitary wave train which is formed as the long-time outcome…”
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    Water Wave Packets Over Variable Depth by Grimshaw, R. H. J., Annenkov, S. Y.

    Published in Studies in applied mathematics (Cambridge) (01-05-2011)
    “…In this paper, we develop higher‐order nonlinear Schrödinger equations with variable coefficients to describe how a water wave packet will deform and…”
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    Interactions of breathers and solitons in the extended Korteweg–de Vries equation by Chow, K.W., Grimshaw, R.H.J., Ding, E.

    Published in Wave motion (01-12-2005)
    “…The extended Korteweg–de Vries model governs the evolution of weakly dispersive waves under the combined influence of quadratic and cubic nonlinearities, and…”
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    Changing forms and sudden smooth transitions of tsunami waves by Grimshaw, R. H. J., Hunt, J. C. R., Chow, K. W.

    “…In some tsunami waves travelling over the ocean, such as the one approaching the eastern coast of Japan in 2011, the sea surface of the ocean is depressed by a…”
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    Undular bore theory for the Gardner equation by Kamchatnov, A M, Kuo, Y-H, Lin, T-C, Horng, T-L, Gou, S-C, Clift, R, El, G A, Grimshaw, R H J

    “…We develop modulation theory for undular bores (dispersive shock waves) in the framework of the Gardner, or extended Korteweg-de Vries (KdV), equation, which…”
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