Search Results - "PELINOVSKY, Efim"
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1
Traveling Waves in Shallow Seas of Variable Depths
Published in Symmetry (Basel) (01-07-2022)“…The problem of the existence of traveling waves in inhomogeneous fluid is very important for enabling an explanation of long-distance wave propagations such as…”
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2
Tsunami Run-Up on a Plane Beach in a Tidal Environment
Published in Pure and applied geophysics (01-03-2020)“…We analytically solve the nonlinear shallow water theory for the tsunami run-up on a plane beach in the presence of tide and show that over a plane beach the…”
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3
Nonlinear Transformation of Sine Wave within the Framework of Symmetric (2+4) KdV Equation
Published in Symmetry (Basel) (01-04-2022)“…This paper considers the transformation of a sine wave in the framework of the extended modified Korteweg–de Vries equation or (2+4) KdV, which includes a…”
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4
Stability and interaction of compactons in the sublinear KdV equation
Published in Communications in nonlinear science & numerical simulation (01-10-2021)“…•We study compactons in the Korteweg–de Vries (KdV) equation with the sublinear nonlinearity.•Compactons represent localized bell-shaped waves of either…”
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5
Robust Computations of Runup in Inclined U- and V-Shaped Bays
Published in Pure and applied geophysics (01-12-2021)“…We present an exact analytical solution for computations of runup in constantly inclined U- and V-shaped bays. The provided solution avoids integration of…”
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6
Euler–Darboux–Poisson Equation in Context of the Traveling Waves in a Strongly Inhomogeneous Media
Published in Mathematics (Basel) (01-08-2023)“…The existence of traveling waves in an inhomogeneous medium is a vital problem, the solution of which can help in modeling the wave propagation over long…”
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7
Long wave generation and coastal amplification due to propagating atmospheric pressure disturbances
Published in Natural hazards (Dordrecht) (01-03-2021)“…Meteotsunamis are long waves generated by displacement of a water body due to atmospheric pressure disturbances that have similar spatial and temporal…”
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8
Estimation of a Freak Wave Lifetime in the Shallow Sea
Published in Journal of marine science and engineering (01-03-2023)“…Unexpected large waves known as freak or rogue waves are a phenomenon emerging in the World Ocean and are causing significant damage to vessels and coastal…”
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9
Physical mechanisms of the rogue wave phenomenon
Published in European journal of mechanics, B, Fluids (01-11-2003)“…A review of physical mechanisms of the rogue wave phenomenon is given. The data of marine observations as well as laboratory experiments are briefly discussed…”
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10
Modulational Instability of Nonlinear Wave Packets within (2+4) Korteweg–de Vries Equation
Published in Water (Basel) (01-03-2024)“…The higher-order nonlinear Schrödinger equation with combined nonlinearities is derived by an asymptotic reduction from the (2+4) Korteweg–de Vries model for…”
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11
Interaction of Interfacial Waves with an External Force: The Benjamin-Ono Equation Framework
Published in Symmetry (Basel) (01-08-2023)“…This study aims to explore the complex interactions between an internal solitary wave and an external force using the Benjamin-Ono equation as the theoretical…”
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12
Evolution and Statistical Analysis of Internal Random Wave Fields within the Benjamin–Ono Equation
Published in Journal of marine science and engineering (01-10-2023)“…This study investigates the numerical evolution of an initially internal random wave field characterized by a Gaussian spectrum shape using the Benjamin–Ono…”
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13
Breather’s Properties within the Framework of the Modified Korteweg–de Vries Equation
Published in Symmetry (Basel) (01-04-2020)“…We study a breather’s properties within the framework of the modified Korteweg–de Vries (mKdV) model, where cubic nonlinearity is essential. Extrema, moments,…”
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14
Soliton–Breather Interaction: The Modified Korteweg–de Vries Equation Framework
Published in Symmetry (Basel) (01-09-2020)“…Pairwise interactions of particle-like waves (such as solitons and breathers) are important elementary processes that play a key role in the formation of the…”
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15
Solitary Wave Interactions with an External Periodic Force: The Extended Korteweg-de Vries Framework
Published in Mathematics (Basel) (01-12-2022)“…In this work we asymptotically and numerically studied the interaction of large amplitude solitary waves with an external periodic force using the forced…”
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16
Interaction Features of Internal Wave Breathers in a Stratified Ocean
Published in Fluids (Basel) (01-12-2020)“…Oscillating wave packets (breathers) are a significant part of the dynamics of internal gravity waves in a stratified ocean. The formation of these waves can…”
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Numerical Simulations of December 22, 2018 Anak Krakatau Tsunami and Examination of Possible Submarine Landslide Scenarios
Published in Pure and applied geophysics (2021)“…On December 22, 2018, a destructive tsunami related to the phenomena caused by the volcanic eruption of Gunung Anak Krakatau (GAK) was generated following a…”
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18
Bipolar Solitary Wave Interactions within the Schamel Equation
Published in Mathematics (Basel) (01-11-2023)“…Pair soliton interactions play a significant role in the dynamics of soliton turbulence. The interaction of solitons with different polarities is particularly…”
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19
Rational Solitons in the Gardner-Like Models
Published in Fluids (Basel) (01-09-2022)“…Rational solutions of nonlinear evolution equations are considered in the literature as a mathematical image of rogue waves, which are anomalously large waves…”
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20
Long surface wave dynamics along a convex bottom
Published in Journal of Geophysical Research - Oceans (01-07-2009)“…Long linear wave transformation in a basin of varying depth is studied for a case of a convex bottom profile h(x) ∼ x4/3. This bottom geometry provides the…”
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