The G′G method and 1-soliton solution of the Davey–Stewartson equation - ScienceDirect
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We define the focusing and the defocusing cases for the purely elliptic generalized Davey–
Stewartson system. These cases are mutually exclusive and exhaustive and therefore close …

This paper concerns a generalized Davey–Stewartson system, which is one of the basic
models in fluid mechanics. Applying a generalization of Lushnikov's criteria, a new blowup …

In this thesis, existence of standing waves for the Davey? Stewartson (DS) andgeneralized
Davey? Stewartson (GDS) systems are established using variational methods. Since both …

In this thesis, a unified treatment is given for a class of nonlinear non-local 2D ellipticand
hyperbolic Schrödinger equation which includes the 2D nonlinear Schrödingerequation with …

This thesis considers solitary standing wave solutions to the Davey-Stewartson equation,
which is a model for surface waves on a body of water in three dimensions. In a special …

This thesis considers solitary standing wave solutions to the Davey-Stewart-son equation,
which is a model for surface waves on a body of water in three dimensions. In a special …

This thesis consists of two major parts. In the first one, we try togive the preliminary local well-
posedness results for the ACNLS, and $ L^ 2-H^ 1$ regularity result which is an easy and …

In this work, two types of special solutions for Zakharov? Schulman equations are studied.
Existence of standing wave solutions are established by utilizing variational methods. First …