A higher order system of some coupled nonlinear Schrödinger and Korteweg-de Vries equations
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Publication:4599486
DOI10.1063/1.5010682zbMath1383.35186arXiv1607.00482OpenAlexW2963632307MaRDI QIDQ4599486
Rasiel Fabelo, Pablo Álvarez-Caudevilla, Eduardo Colorado
Publication date: 2 January 2018
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.00482
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Traveling wave solutions (35C07) Systems of nonlinear higher-order PDEs (35G50)
Cites Work
- Unnamed Item
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- Countable families of solutions of a limit stationary semilinear fourth-order Cahn-Hilliard-type equation. I: Mountain pass and Lusternik-Schnirel'man patterns in \(\mathbb{R}^{N}\)
- Existence of bound states for the coupled Schrödinger-KdV system with cubic nonlinearity
- Positive solutions to some systems of coupled nonlinear Schrödinger equations
- 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
- The cubic fourth-order Schrödinger equation
- Symétrie et compacité dans les espaces de Sobolev
- Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
- On the existence of bound and ground states for some coupled nonlinear Schrödinger-Korteweg-de Vries equations
- On the variational principle
- Dual variational methods in critical point theory and applications
- Existence of solutions for a system of coupled nonlinear stationary bi-harmonic Schrödinger equations
- Existence of bound and ground states for a system of coupled nonlinear Schrödinger-KdV equations
- Formation and Interaction of Sonic-Langmuir Solitons: Inverse Scattering Method
- Self-Focusing with Fourth-Order Dispersion
- Well-posedness for the Schrödinger-Korteweg-de Vries system
- Existence and stability of ground-state solutions of a Schrödinger—KdV system
- 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
