Small solitons and multisolitons in the generalized Davey-Stewartson system
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Publication:2081375
DOI10.1515/anona-2022-0266zbMath1498.35413OpenAlexW4303699690MaRDI QIDQ2081375
Shihui Zhu, Mengxue Bai, Jian Zhang
Publication date: 12 October 2022
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anona-2022-0266
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Variational methods applied to PDEs (35A15) Magnetohydrodynamics and electrohydrodynamics (76W05) Soliton solutions (35C08) PDE constrained optimization (numerical aspects) (49M41)
Cites Work
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- Normalized solutions for a system of coupled cubic Schrödinger equations on \(\mathbb R^3\)
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Multi solitary waves for nonlinear Schrödinger equations
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Sharp threshold of global existence and instability of standing wave for a Davey-Stewartson system
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Stability theory of solitary waves in the presence of symmetry. I
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- Stability of standing waves for the generalized Davey-Stewartson system
- On the initial value problem and scattering of solutions for the generalized Davey-Stewartson systems
- Stability and instability of standing waves for the generalized Davey- Stewartson system
- Blow-up solutions with minimal mass for nonlinear Schrödinger equation with variable potential
- A rigidity property for the Novikov equation and the asymptotic stability of peakons
- Normalized solutions for a coupled Schrödinger system
- Infinitely many radial and non-radial sign-changing solutions for Schrödinger equations
- High-speed excited multi-solitons in nonlinear Schrödinger equations
- Stability in \(H^1\) of the sum of \(K\) solitary waves for some nonlinear Schrödinger equations
- On the Davey-Stewartson system with competing nonlinearities
- Growth properties of solutions of the reduced wave equation with a variable coefficient
- On the initial value problem for the Davey-Stewartson systems
- Modulational Stability of Ground States of Nonlinear Schrödinger Equations
- Solutions of the generalized nonlinear Schrödinger equation in two spatial dimensions
- Exact blow-up solutions to the Cauchy problem for the Davey–Stewartson systems
- On the existence of standing waves for a davey–stewartson system
- The Cauchy problem for Davey-Stewartson systems
- On three-dimensional packets of surface waves
- Normalized solutions of mass supercritical Schrödinger equations with potential
- Why are solitons stable?
- Stability of attractive Bose-Einstein condensates