WebJun 9, 2024 · The Davey–Stewartson (DS) system of nonlinear partial differential equations, henceforth abbreviated as the DS system, was first introduced in fluid dynamics for the study of the evolution of three-dimensional wave packets in water of finite depth (Davey and Stewartson 1974 ). WebJan 11, 2024 · In this study, some novel soliton solution of Davey and Stewartson equations by using the Bernoulli sub-equation is investigated. The variable approach of the traveling wave changes the NLPDEs into nonlinear ordinary differential equations and it is solved for different physical nonzero parameters.
Dynamics of dark and anti-dark solitons for the x-nonlocal Davey ...
WebSep 17, 2012 · Abstract. General rogue waves in the Davey-Stewartson-I equation are derived by the bilinear method. It is shown that the simplest (fundamental) rogue waves … WebDavid Stewart Dawson in 1922. David Stewart Dawson (25 November 1849 – 6 August 1932), frequently referred to as Stewart Dawson, was an Australian manufacturing … unfair schools
PT-symmetric nonlocal Davey–Stewartson I equation
WebJan 10, 2024 · In the paper, we employ an improved physics-informed neural network (PINN) algorithm to investigate the data-driven nonlinear wave solutions to the nonlocal Davey–Stewartson (DS) I equation with parity-time ( PT) symmetry, including the line breather, kink-shaped and W-shaped line rogue wave solutions. WebThe Davey-Stewartson II Equation The DS II equation describes the amplitude envelope u = u(x,y,t) of a monochromatic, weakly nonlinear surface wave: iu t +2 ¶2 +¶ 2 u +(g +g)u … WebMay 31, 2024 · The Benny–Roskes–Davey–Stewartson equation is a well-known model that governs the evolution of a two-dimensional water packet (Benny and Roskes 1969 ). In general, this equation is non-integrable. However, it becomes integrable in the shallow water limit; and then is called the Davey–Stewartson (DS) equation (Davey and Stewartson … unfair sales act wisconsin