Application of adaptive time marching scheme in exponential basis function method in simulating solitary wave propagation
Sign Up to like & getrecommendations! Published in 2019 at "Environmental Fluid Mechanics"
DOI: 10.1007/s10652-019-09665-1
Abstract: AbstractSolitary wave theories are frequently adopted to simulate the characteristics of tsunami and to predict the resulting run-up in a numerical and experimental manner. A mesh-free method based on exponential basis functions (EBFs) is implemented… read more here.
Keywords: solitary wave; wave; wave propagation; time marching ... See more keywords
Interactional solutions of a lump and a solitary wave for two higher-dimensional equations
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DOI: 10.1007/s11071-018-4454-0
Abstract: In this paper, by using the bilinear equation and different test functions, we obtain lump–bell solutions for the $$(4+1)$$(4+1)-dimensional Fokas equation, which describe nonelastic and elastic interactions. We consider various interactions of the lump–bell solutions… read more here.
Keywords: interactional solutions; bell solutions; solutions lump; solitary wave ... See more keywords
Dynamic properties of interactional solutions for the (4 + 1)-dimensional Fokas equation
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-021-06789-2
Abstract: In this paper, based on the bilinear form, we give multi-solitary wave solutions of the $$(4+1)$$ -dimensional Fokas equation. From the obtained multi-solitary wave solutions, with special parameters, we derive resonant solutions of N-solitary waves.… read more here.
Keywords: dynamic properties; solitary wave; fokas equation; solutions dimensional ... See more keywords
Solitary wave solutions of some nonlinear PDEs arising in electronics
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DOI: 10.1007/s11082-017-0974-y
Abstract: In the present article, an Extended Trial Equation method has been applied to derive the new exact solutions for generalized form of equations. We consider ZK equation and ZK-BBM equation to demonstrate the features and… read more here.
Keywords: electronics solitary; solutions nonlinear; pdes arising; wave solutions ... See more keywords
Existence of Solitary Wave Solutions for a Nonlinear Fifth-Order KdV Equation
Sign Up to like & getrecommendations! Published in 2020 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-020-00366-5
Abstract: In this paper, we study a nonlinear fifth-order KdV equation which has wide physical applications. We first establish the existence of solitary wave solutions for this equation without delay by using the Hamilton function method.… read more here.
Keywords: wave solutions; solitary wave; nonlinear fifth; equation ... See more keywords
Dynamic of solitary wave solutions in some nonlinear pseudoparabolic models and Dodd–Bullough–Mikhailov equation
Sign Up to like & getrecommendations! Published in 2018 at "Indian Journal of Physics"
DOI: 10.1007/s12648-018-1187-3
Abstract: In this study, the modified exp $$ ( - \Phi (\eta )) $$(-Φ(η))-expansion function method is used in constructing some solitary wave solutions to the Oskolkov–Benjamin–Bona–Mahony–Burgers, one-dimensional Oskolkov equations and the Dodd–Bullough–Mikhailov equation. We successfully… read more here.
Keywords: mikhailov equation; wave solutions; solitary wave; bullough mikhailov ... See more keywords
Study on characteristics of internal solitary waves in the Malacca Strait based on Sentinel-1 and GF-3 satellite SAR data
Sign Up to like & getrecommendations! Published in 2020 at "Acta Oceanologica Sinica"
DOI: 10.1007/s13131-020-1604-2
Abstract: The study of the characteristics of internal solitary waves happened in the Malacca Strait is an urgent problem for submarine, ship navigation and marine engineering. Based on SAR remote sensing data obtained from the high… read more here.
Keywords: solitary waves; characteristics internal; malacca strait; solitary wave ... See more keywords
Incompressible SPH simulation of solitary wave propagation on permeable beaches
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DOI: 10.1007/s42241-020-0042-0
Abstract: Wave propagation on uniformly sloped beaches is a canonical coastal engineering topic that has been studied extensively in the past few decades. However, most of these studies treat beaches as solid boundaries even though they… read more here.
Keywords: permeable beaches; solitary wave; wave; wave propagation ... See more keywords
Numerical study on the transformation of an internal solitary wave propagating across a vertical cylinder
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DOI: 10.1016/j.apor.2019.102016
Abstract: Abstract A finite volume method based 3D Cartesian grids is developed to study the effect of cylinder diameter on the evolution of a depression internal solitary wave (ISW) with different initial wave amplitudes across a… read more here.
Keywords: solitary wave; wave; vertical cylinder; internal solitary ... See more keywords
MPM simulation of solitary wave run-up on permeable boundaries
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DOI: 10.1016/j.apor.2021.102602
Abstract: Abstract Waves attenuate rapidly as they propagate through porous media due to significant energy dissipation. The ability of permeable armour layers to absorb wave energy is therefore of great interest to the researchers and engineers… read more here.
Keywords: permeable boundaries; grain size; mean grain; solitary wave ... See more keywords
Study on applicability of internal solitary wave theories by theoretical and numerical method
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DOI: 10.1016/j.apor.2021.102629
Abstract: Abstract It is essential to distinguish the applicable range of theories of internal solitary waves (ISWs). Numerous numerical simulations and theoretical calculations with wide ranging thickness ratios β = h 1 / h 2 (… read more here.
Keywords: applicability internal; applicable range; solitary wave; theoretical numerical ... See more keywords