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 … WebAug 30, 2024 · Davey–Stewartson system, singular solution, sharp energy criteria, concentration 2010 Mathematics Subject Classification 35Q55, 45G05 Full Text (PDF format)
Blow-up, global existence and standing waves for the magnetic …
WebJul 1, 2024 · We present an efficient high-precision numerical approach for Davey–Stewartson (DS) II type equa- tions, treating initial data from the Schwartz class … WebMay 6, 2010 · The Davey-Stewartson I and II are two well-known examples of integrable equations in two-dimensional space, which arise as higher-dimensional generalizations of the nonlinear shrodinger (NLS) equation, from the point of physical view as well as from the study in . Indeed, they appear in many applications, for example, in the description of ... newest nancy drew game
Bifurcation Analysis and Single Traveling Wave Solutions of the ...
WebFeb 21, 2013 · Abstract. General rogue waves in the Davey–Stewartson (DS)II equation are derived by the bilinear method, and the solutions are given through determinants. It is shown that the simplest (fundamental) rogue waves are line rogue waves which arise from the constant background in a line profile and then retreat back to the constant … 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 … WebFeb 28, 2010 · M. Ohta, Instability of standing waves for the generalized Davey-Stewartson system, Ann. Inst. Henri. Poincaré Phys. Théor., 62 (1995), 69-80. [20] M. Ohta, Blow-up solutions and strong instability of standing waves for the generalized Davey-Stewartson system in $\mathbbR^2$, Ann. Inst. Henri. newest myrtle beach condos