WebFeb 28, 2010 · We study blow-up, global existence and standing waves for the nonlinear Schrödinger equations with two-dimensional magnetic field in a cold plasma. Under certain conditions on initial data and initial energy, we derive finite time blow-up phenomena of the solutions to the equations under study. WebGeneral dark solitons and mixed solutions consisting of dark solitons and breathers for the third-type Davey-Stewartson (DS-III) equation are derived by employing the bilinear method. By introducing the two differential operators, semi-rational solutions consisting of rogue waves, breathers, and solitons are generated.
PT-symmetric nonlocal Davey–Stewartson I equation
WebOct 1, 2024 · Differential and Integral Equations 1995 We study the stability of standing waves for a nonlinear Schrödinger equation, which derives from the generalized Davey-Stewartson system in the elliptic-elliptic case. WebAug 22, 2024 · We prove the existence of small-amplitude modulated solitary waves for the full-dispersion Kadomtsev--Petviashvilii (FDKP) equation with weak surface tension. The resulting waves are small-order perturbations of scaled, translated, frequency-shifted solutions of a Davey--Stewartson (DS) type equation. The construction is variational … new mexico e filing system
The line rogue wave solutions of the nonlocal Davey–Stewartson …
WebSep 1, 2024 · The Davey-Stewartson (DSS) equation is one of the important nonlinear evolution equations (NLEEs) that plays a vital role in the field of mathematical … WebFeb 21, 2013 · 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 background again. WebMar 24, 2024 · Davey-Stewartson Equations -- from Wolfram MathWorld. Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics … new mexico elder abuse law