supported by the NSFC(11901120);supported by the NSFC(12171356);the Science and Technology Program of Guangzhou,China(2024A04J4027)。
In this work,we propose a low-regularity Fourier integrator with almost mass conservation to solve the Davey-StewartsonⅡsystem(hyperbolic-elliptic case).Arbitrary order mass convergence could be achieved by the suita...
the National Natural Science Foundation of China(11771314).
In this paper,we give a simpler proof for Ohta’s theorems[1995,Ann.Inst.Henri Poincare,63,111;1995,DifF.Integral Eq.,8,1775]on the strong instability of the ground states for a generalized Davey-Stewartson system.In ...
The authors would like to thank the Deanship of Scientific Research,Majmaah University,Saudi Arabia,for funding this work under project No.R-1441-26.
In this study,the sine-Gordon equation method is modified to deal with variable-coefficient systems containing imaginary parts,such as nonlinear Schrödinger systems.These are of considerable importance in many fields ...
In this paper, we study the global scattering result of the solution for the generalized Davey-Stewartson system The main difficulties are the failure of the interaction Morawetz estimate and the asymmetrical structur...
supported by National Natural Science Foundation of China (Grant No. 11571381)
This paper studies multi-solitons of non-integrable generalized Davey-Stewartson system in the elliptic-elliptic case. By extending the method for constructing multi-solitons of non-integrable nonlinear SchrSdinger eq...
supported by the National Natural Science Foundation of China(11361069);the Natural Science Foundation of Educational Department of Yunnan Province(2013Y482)
A differential-difference Davey-Stewartson system with self-consistent sources is constructed using the source generation procedure. We observe how the resulting coupled discrete system reduces to the identities for d...
Supported by National Natural Science Foundation of China(Grant No.11371267);Research Fund for the Doctoral Program of Higher Education of China(Grant No.20125134120001)
We study the blow-up solutions for the Davey-Stewartson system(D-S system, for short)in L2x(R2). First, we give the nonlinear profile decomposition of solutions for the D-S system. Then, we prove the existence of ...