Webtions as solutions to the unapproximated reduced system which correspond to symmetric hydroeleastic solitary waves. 1Introduction 1.1The main result In this article we examine the propagation of solitary waves on the surface of an ocean under ice, regarding the water as a perfect fluid in irrotational flow and the ice sheet as an elastic shell WebJan 22, 2024 · special classes of traveling wave solutions that have distinct features. These distinct features can determine the behavior of the solution, and hence the properties of the phenomena with which the NLPDE is formed [6]. The solitary waves consist of a sequence of solitary waves that propagate without changing shape or size over time. Such ...
Fractional solitons: New phenomena and exact solutions
WebJun 1, 2006 · Abstract. An exact nonsingular solitary wave solution of the Schäfer-Wayne short pulse equation is derived from the breather solution of the sine-Gordon equation by … WebFeb 18, 2024 · Here, we represent some of our obtained solutions to show the dynamical behavior of the shallow water waves in a thin and dispersive medium. We have used 2D, … almere gondel
A study of long wave run-ups on a bi-linear beach slope induced by …
WebMar 1, 1998 · The early history of solitons or solitary waves began in August 1834 when the Victorian Engineer John Scott Russell observed a solitary wave travelling along a Scottish canal. The definitive theory was not published until 1895 by Korteweg and de Vries, working in Amsterdam. The subject was reborn in Plasma Physics in 1958 with the discovery, by ... In mathematics and physics, a soliton or solitary wave is a self-reinforcing wave packet that maintains its shape while it propagates at a constant velocity. Solitons are caused by a cancellation of nonlinear and dispersive effects in the medium. (Dispersive effects are a property of certain systems where the … See more A single, consensus definition of a soliton is difficult to find. Drazin & Johnson (1989, p. 15) ascribe three properties to solitons: 1. They are of permanent form; 2. They are localized within a region; See more In 1834, John Scott Russell describes his wave of translation. The discovery is described here in Scott Russell's own words: I was observing the … See more Solitons may occur in proteins and DNA. Solitons are related to the low-frequency collective motion in proteins and DNA. A recently developed model in neuroscience proposes that signals, in the form of density waves, are conducted within neurons in the … See more In magnets, there also exist different types of solitons and other nonlinear waves. These magnetic solitons are an exact solution of classical nonlinear differential equations — … See more Dispersion and nonlinearity can interact to produce permanent and localized wave forms. Consider a pulse of light traveling in glass. This pulse can be thought of as consisting of light of several different frequencies. Since glass shows dispersion, these … See more Visionary american artist Paul Laffoley painted "The Solitron" (1997), in which he depicted the soliton wave as a neoalchemichal way … See more Solitons can occur in materials, such as ferroelectrics, in the form of domain walls. Ferroelectric materials exhibit spontaneous … See more WebApr 13, 2024 · Internal solitary waves (ISWs) in the South China Sea (SCS) are considerably modulated by the background currents. In this study, a three-dimensional high-resolution … almere in de peiling