On the existence of bound and ground states for some coupled nonlinear Schrödinger-Korteweg-de Vries equations
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Publication:1678961
DOI10.1515/anona-2015-0181zbMath1374.35340arXiv1411.7283OpenAlexW2963541992MaRDI QIDQ1678961
Publication date: 8 November 2017
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.7283
KdV equations (Korteweg-de Vries equations) (35Q53) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55)
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Cites Work
- Unnamed Item
- An optimal constant for the existence of least energy solutions of a coupled Schrödinger system
- Existence and stability of a two-parameter family of solitary waves for an NLS-KdV system
- Existence of bound states for the coupled Schrödinger-KdV system with cubic nonlinearity
- A local mountain pass type result for a system of nonlinear Schrödinger equations
- Nonradial symmetric bound states for a system of coupled Schrödinger equations
- Positive solutions to some systems of coupled nonlinear Schrödinger equations
- Nonlinear scalar field equations. I: Existence of a ground state
- Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
- Positive solutions for a weakly coupled nonlinear Schrödinger system
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Well-posedness and existence of bound states for a coupled Schrödinger-gKdV system
- Uniqueness of positive solutions for a nonlinear elliptic system
- Rearrangements and convexity of level sets in PDE
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Symétrie et compacité dans les espaces de Sobolev
- On the variational principle
- Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations
- Dual variational methods in critical point theory and applications
- Bound and ground states of coupled nonlinear Schrödinger equations
- Existence of bound and ground states for a system of coupled nonlinear Schrödinger-KdV equations
- Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
- Solitary waves for some nonlinear Schrödinger systems
- Uniqueness of the ground state solution for \(\Delta u - u + u^3=0\) and a variational characterization of other solutions
- Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
- Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations
- On soliton solutions to a class of Schrödinger-K𝐝V systems
- Stationary waves of Schrödinger-type equations with variable exponent
- Well-posedness for the Schrödinger-Korteweg-de Vries system
- Ground States and Bound States of a Nonlinear Schrödinger System
- Existence and stability of ground-state solutions of a Schrödinger—KdV system
- Three Sources and Three Component Parts of the Concept of Dissipative Solitons
- Standing waves of some coupled nonlinear Schrödinger equations
- Existence results for some systems of coupled fractional nonlinear Schrödinger equations
- Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations
- A Note on Nonlinear Schrödinger Systems: Existence of A-symmetric Solutions
- Infinitely many solutions for a class of sublinear Schrödinger equations with indefinite potentials
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