Solitons in two-dimensional shallow water
WebNov 15, 1998 · A new theoretical model is introduced for evaluating three-dimensional gravity-capillary waves in water of uniform depth to various degrees of validity for … WebJul 12, 2024 · A solitary wave is a localized "wave of translation" that arises from a balance between nonlinear and dispersive effects. In most types of solitary waves, the pulse width depends on the amplitude. A soliton is a solitary wave that behaves like a "particle", in that it satisfies the following conditions (Scott, 2005): . It must maintain its shape when it moves …
Solitons in two-dimensional shallow water
Did you know?
WebSolitons are self-trapped modes existing in various nonlinear systems. Creating stable solitons in two- and three-dimensional settings is a challenging goal in various branches of physics. Several methods have been developed theoretically and experimentally to achieve this, but few of them can support stable multi-dimensional solitons in free space. … WebMay 1, 2024 · Recently, a (2+1)-dimensional Korteweg-de Vries Sawada-Kotera-Ramani (KdVSKR) equation is proposed to study the resonances of solitons in shallow water [42], [43]. The (2+1)-dimensional KdVSKR equation reads as [43] (1) u t + α (u xxx + 6 u u x) − β (u xxxxx + 45 u 2 u x + 15 u u y + 15 u u xxx + 15 u x u xx + 5 u xxy − 5 ∫ u yy dx + 15 ...
WebJan 1, 2016 · Under investigation in this article is a (2+1)-dimensional generalised variable-coefficient shallow water wave equation, which describes the interaction of the Riemann wave propagating along the y axis with a long-wave propagating along the x axis in a fluid, where x and y are the scaled space coordinates. Bilinear forms, Bäcklund transformation, … WebSep 1, 2006 · Request PDF Weakly two-dimensional interaction of solitons in shallow water Nonlinear interactions of long-crested solitonic waves travelling in different directions in …
Web1.1 Introduction We start with the derivation of the basic shallow water wave equations from the three-dimensional Euler equation for the irrotational, inviscid, and incompressible … WebJan 11, 2015 · The two solitons and three solitons are parallel, and the amplitudes of the solitons increase with increasing M, ... We investigate the extended (2+1)-dimensional shallow water wave equation.
WebApr 13, 2024 · In this study, a three-dimensional high-resolution non ... they are dissipated in the shallow water 25. ... S. & Long, X. A simple estimation of the force exerted by internal solitons on ...
WebApr 11, 2024 · Shallow water waves are fl uctuations in the ocean with wavelengths much greater than the depth of the water (usually more than 25 times), and the dispersion of w a t e rw a v e si so n eo ft h ... chewed macbook charger effects computerWebSep 1, 2006 · A visual experimental investigation on Taylor bubble behavior of two-phase flow was carried out in vertical circular channels, with the length of 1000 mm and inner diameter of 1 mm, 2 mm, 3 mm and 6 mm. Deionized water was used as the liquid-phase working fluid, and air, nitrogen, argon and carbon dioxide were adopted as the gas-phase … chewed meatWebApr 12, 2024 · We propose a scheme to generate and control high-dimensional rogue waves in a coherent three-level Λ-type atomic system via electromagnetically induced transparency (EIT). Under EIT conditions, the probe field envelopes obey the non-integrable nonlinear Schrödinger equations (NLSE) with or without the external potential, which … chewed noisily crosswordWebYuji Kodama, Solitons in Two-Dimensional Shallow Water CB92_Kodama_FM_V4.indd 3 10/12/2024 2:46:52 PM. YUJI KODAMA The Ohio State University Columbus, Ohio … goodwill victory lakesWebJul 1, 2016 · The Hirota bilinear method and Painlevé–Bäcklund transformation are used to discuss the soliton solutions of the $$(3+1)$$ ( 3 + 1 ) -dimensional generalized shallow water equation. With the help of symbolic computation, multiple-soliton solutions, multiple singular soliton solutions, hyperbolic function solutions and trigonometric function … goodwill victorville caWebApr 1, 2024 · Solitons and Jacobi elliptic structures of the governing model, ... In this article, we construct new solitary wave solutions for the (3+1)-dimensional generalized shallow water wave ... chewed massager cordWebApr 26, 2010 · KP solitons in shallow water. The main purpose of the paper is to provide a survey of our recent studies on soliton solutions of the Kadomtsev-Petviashvili (KP) … chewed out at work