2019
DOI: 10.1111/sapm.12255
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The effects of interplay between the rotation and shoaling for a solitary wave on variable topography

Abstract: This paper presents specific features of solitary wave dynamics within the framework of the Ostrovsky equation with variable coefficients in relation to surface and internal waves in a rotating ocean with a variable bottom topography. For solitary waves moving toward the beach, the terminal decay caused by the rotation effect can be suppressed by the shoaling effect. Two basic examples of a bottom profile are analyzed in detail and supported by direct numerical modeling. One of them is a constant‐slope bottom … Show more

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Cited by 13 publications
(16 citation statements)
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“…The effect of Earth' rotation on the dynamics of nonlinear waves in the oceans has been extensively studied in previous decades (see, for example, Refs. [24,11,14,12,20,18,25,31] and references therein). As is well-know, wave propagation in big lakes can be also affected by the Earth's rotation [5,7,28,32,29].…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…The effect of Earth' rotation on the dynamics of nonlinear waves in the oceans has been extensively studied in previous decades (see, for example, Refs. [24,11,14,12,20,18,25,31] and references therein). As is well-know, wave propagation in big lakes can be also affected by the Earth's rotation [5,7,28,32,29].…”
Section: Introductionmentioning
confidence: 99%
“…In an inhomogeneous medium the dynamics of solitary waves is determined by synergetic effects of inhomogeneity and fluid rotation. In particular, at a certain relationship between these two factors, a Korteweg-de Vries (KdV) soliton propagating towards a coast with a gradually decreasing depth can preserve its shape and amplitude, whereas its width and velocity adiabatically change [31].…”
Section: Introductionmentioning
confidence: 99%
“…Features of the separated wave dynamics within Ostrovsky's equation with variable coefficients relative to the surface and internal waves in the ocean with variable bottom topography were presented in [4]. For separated waves moving to a beach, attenuation effect can be suppressed by the effect of rotation.…”
Section: Literature Review and Problem Statementmentioning
confidence: 99%
“…Internal long wave nonlinear theory in a basin of variable depth is well developed in various approximations for both nonrotating fluid (see, e.g., Refs. ) and rotating fluid . In the case of interfacial waves in a two‐layer fluid of variable depth, an important effect is the change of polarity of solitary waves (solitons) …”
Section: Wave Reflection From the Bifurcation Pointmentioning
confidence: 99%
“…6,8,13-18) and rotating fluid. 19,20 In the case of interfacial waves in a two-layer fluid of variable depth, an important effect is the change of polarity of solitary waves (solitons). [21][22][23] Here, we consider nonlinear shallow-water theory taking into account that the thickness of the lower layer is very small.…”
Section: Wave Reflection From the Bifurcation Pointmentioning
confidence: 99%