Stability of KdV solitons on the half-line
From MaRDI portal
Publication:2280511
DOI10.4171/rmi/1102OpenAlexW2969263469MaRDI QIDQ2280511
Claudio Muñoz, Márcio André Araújo Cavalcante
Publication date: 18 December 2019
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.02608
Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)
Related Items (4)
Asymptotic Stability of KdV Solitons on the Half-Line: A Study in the Energy Space ⋮ Initial boundary value problems for some nonlinear dispersive models on the half-line: a review and open problems ⋮ Linear instability criterion for the Korteweg–de Vries equation on metric star graphs ⋮ Stability of mKdV breathers on the half-line
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The linear KdV equation with an interface
- Stability of integrable and nonintegrable structures
- Constrained energy minimization and orbital stability for the NLS equation on a star graph
- Global well-posedness of two initial-boundary-value problems for the Korteweg-de Vries equation.
- Well-posedness of the Cauchy problem for the Korteweg-de Vries equation at the critical regularity.
- Variational properties and orbital stability of standing waves for NLS equation on a star graph
- The Korteweg-de Vries equation in a quarter plane, continuous dependence results
- Global well-posedness of Korteweg-de Vries equation in \(H^{-3/4}(\mathbb R)\)
- Stability theory of solitary waves in the presence of symmetry. I
- Initial boundary-value problems for the Korteweg-de Vries equation
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- An initial-boundary value problem for the Korteweg-de Vries equation
- Nonlinear instability of half-solitons on star graphs
- On the ill-posedness of some canonical dispersive equations.
- Stability and asymptotic stability for subcritical gKdV equations
- On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness
- Soliton dynamics for generalized KdV equations in a slowly varying medium
- The Korteweg-de Vries equation on a metric star graph
- Logarithmic NLS equation on star graphs: existence and stability of standing waves.
- Stability of standing waves for NLS-log equation with \(\delta\)-interaction
- Fast soliton scattering by delta impurities
- Conditional and unconditional well-posedness for nonlinear evolution equations
- Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications
- A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane
- The Korteweg–de Vries equation on the half-line
- Ground State on the Dumbbell Graph
- FAST SOLITONS ON STAR GRAPHS
- The Korteweg–de Vries Equation, Posed in a Quarter-Plane
- Explicit soliton asymptotics for the Korteweg–de Vries equation on the half-line
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- Stability and instability of solitary waves of Korteweg-de Vries type
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- A unified transform method for solving linear and certain nonlinear PDEs
- An Initial Boundary-Value Problem in a Half-Strip for the Korteweg–De Vries Equation in Fractional-Order Sobolev Spaces
- THE GENERALIZED KORTEWEG–DE VRIES EQUATION ON THE HALF LINE
- Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
- A bilinear estimate with applications to the KdV equation
- The Gardner equation and the 𝐿²-stability of the 𝑁-soliton solution of the Korteweg-de Vries equation
- Ground state and orbital stability for the NLS equation on a general starlike graph with potentials
- The Initial-Boundary Value Problem for the Korteweg–de Vries Equation
- Introduction to nonlinear dispersive equations
This page was built for publication: Stability of KdV solitons on the half-line
