Solitons in two-dimensional shallow water

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August undefined, 2024

WebWe often observe web-like patterns of waves on the surface of shallow water. They are examples of nonlinear waves, ... Home CBMS-NSF Regional Conference Series in Applied … WebHighlights • The mechanism of nonlinear superposition between lump, and other nonlinear localized waves of the (2 + 1)-dimensional cpKP-BKP equation is investigated. ... An integrable shallow water equation with peaked solitons, Phys. Rev. Lett. 71 (9) (1993) ...

Weakly two-dimensional interaction of solitons in shallow water

WebIn this book, modern mathematical tools-algebraic geometry, algebraic combinatorics, and representation theory, among others-are used to analyze these two-dimensional wave patterns. The author's primary goal is to explain some details of the classification problem of the soliton solutions of the KP equation (or KP solitons) and their applications to shallow … WebThe author s primary goal is to explain some details of the classification problem of the soliton solutions of the KP equation (or KP solitons) and their applications to shallow water waves. This book is intended for researchers and graduate students. Contributors. Yuji … portfolio lights website

[1004.4607] KP solitons in shallow water - arXiv.org

WebSep 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 … WebThese are the sorts of questions that motivate Yuji Kodama in his new book, Solitons in Two-Dimensional Shallow Water. This valuable addition to the existing literature on … WebMar 24, 2024 · The current study utilizes the generalized $\tan (K(\rho )/2)$-expansion method, the generalized $\tanh $-$\coth $ method and He’s semi-inverse variational method in constructing various soliton and other solutions to the (2+1)-dimensional coupled variant Boussinesq equations which describes the elevation of water wave surface for … portfolio link on resume example

Lumps and interactions, fission and fusion phenomena in multi solitons …

Fractional solitons: New phenomena and exact solutions

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 … WebDownload or read book KP Solitons and the Grassmannians written by Yuji Kodama and published by Springer. This book was released on 2024-03-24 with total page 138 pages. … portfolio lights lowesWebDec 15, 2024 · They were first observed as water waves in a shallow canal by a Scottish engineer John Scott Russell in ... He, G.; Xu, G.; Lam, L. Two-dimensional axisymmetric solitons in nematic liquid crystals. Liq. Cryst. 1987, 2, 717–722. [Google Scholar] Ribotta, R. Critical Behavior of the Penetration Length of a Vortex into a ... portfolio loan what is it

"WebApr 1, 2024 · Shallow-water-wave studies on a (2 + 1)-dimensional Hirota ... will be worked out. In Section 4, hybrid solutions composed of one 2-resonance Y-type solitons and two solitons/one first-order breathers/one first-order lumps for System (3) will be ... (2+1)-dimensional Broer-Kaup-Kupershmidt system or comes to a known ... " - Solitons in two-dimensional shallow water

Solitons in two-dimensional shallow water

On the dynamics of exact solutions to a (3+1)-dimensional YTSF …

http://www.koovin.com/?a=url&id=5760828 WebJul 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 …

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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, … WebMar 1, 2024 · Under investigation in this paper is a (2+1)-dimensional Broer-Kaup-Kupershmidt system for the nonlinear and dispersive long gravity waves on two horizontal directions in the shallow water of uniform depth. Bilinear forms, Bäcklund transformation and Lax pair are derived based on the Bell polynomials and symbolic computation.

WebSep 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 … WebApr 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) …

Web2.1 Introduction The main purpose of this chapter is to introduce the KP solitons as the special solutions of the KP equation. We first present an interesting connection between … WebDownload or read book KP Solitons and the Grassmannians written by Yuji Kodama and published by Springer. This book was released on 2024-03-24 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to treat combinatorial and geometric aspects of two-dimensional solitons.

WebYuji 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 …

WebApr 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 ... portfolio loans interest ratesWebWith the help of an extended mapping approach, a new type of variable separation excitation with three arbitrary functions of the (2+1)-dimensional dispersive long-water wave system (DLW) is derived. Based on the derived variable separation excitation, abundant non-propagating solitons such as dromion, ring, peakon, and compacton etc.are revealed by … portfolio linkhorn lightingWebIn this book, modern mathematical tools-algebraic geometry, algebraic combinatorics, and representation theory, among others-are used to analyze these two-dimensional wave … portfolio login rcpsychWebSolitons 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 … portfolio macbook air 13 portfolio low voltage deck lightsWebMar 1, 2024 · Rational solutions and lump solutions to the generalized(3 + 1)-dimensional Shallow Water-like equation. Comput. Math. Appl. (2024) X.H. Zhang et al. ... Two-dimensional solitons in P T-symmetric optical media with competing nonlinearity. Optik, Volume 156, 2024, pp. 470-478. portfolio lab investments ltdWebDec 1, 2024 · Solitons have many applications in pure and applied mathematics, particularly in areas such as differential equations, Lie groups, ... (2+ 1)-dimensional shallow water … portfolio low voltage transformer error codes