Spectral stability of multi-solitons for generalized Hamiltonian system. I: The Caudrey-Dodd-Gibbon-Sawada-Kotera equation
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Publication:2111755
DOI10.1016/j.physd.2022.133610zbMath1506.35011OpenAlexW4311420772MaRDI QIDQ2111755
Publication date: 17 January 2023
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2022.133610
Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)
Cites Work
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- Lax pairs and higher order models for water waves
- Stability and instability of solitary waves of the fifth-order KdV equation: a numerical framework
- Three series of invariant manifolds of the Sawada-Kotera equation
- Orbital stability of double solitons for the Benjamin-Ono equation
- Stability of solitary waves of a fifth-order water wave model
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Asymptotic analysis of soliton problems. An inverse scattering approach
- Stability theory of solitary waves in the presence of symmetry. I
- Asymptotic stability of solitary waves
- A stability analysis of fifth-order water wave models
- Stability and asymptotic stability for subcritical gKdV equations
- Energy and local energy bounds for the 1-d cubic NLS equation in \(H^{-\frac{1}{4}}\)
- Existence and stability of traveling waves of the fifth-order KdV equation
- Nonlinear stability of multi-solitons for the Hirota equation
- Stability of smooth multi-solitons for the Camassa-Holm equation
- Orbital stability of KdV multisolitons in \(H^{-1}\)
- Isoinertial operators around the KdV multi-solitons
- On the stability of the solitary waves to the (generalized) Kawahara equation
- Rough solutions of the fifth-order KdV equations
- Two-pulse solutions in the fifth-order KdV equation: rigorous theory and numerical approximations
- A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
- A reformulation of the `dressing method' for the Sawada-Kotera equation
- A Bäcklund Transformation for a Higher Order Korteweg-De Vries Equation
- On the stability ofN-solitons in integrable systems
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- Solitons and discrete eigenfunctions of the recursion operator of non-linear evolution equations. I. The Caudrey-Dodd-Gibbon-Sawada-Kotera equation
- On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψxxx + 6Qψx + 6Rψ = λψ
- A symmetry approach to exactly solvable evolution equations
- The bi-Hamiltonian structure of some nonlinear fifth- and seventh-order differential equations and recursion formulas for their symmetries and conserved covariants
- New types of soliton solutions
- Existence and Nonexistence of Solitary Wave Solutions to Higher-Order Model Evolution Equations
- Periodic solutions of the KdV equation
- On the stability theory of solitary waves
- A new hierarchy of Korteweg–de Vries equations
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- On the stability of KdV multi‐solitons
- The Gardner equation and the 𝐿²-stability of the 𝑁-soliton solution of the Korteweg-de Vries equation
- Instability, index theorem, and exponential trichotomy for Linear Hamiltonian PDEs
- Spectral Stability of Nonlinear Waves in KdV‐Type Evolution Equations
- Stability of the multi-solitons of the modified Korteweg–de Vries equation *
- Spectral stability and time evolution ofN-solitons in the KdV hierarchy
- Well-posedness for the fifth-order KdV equation in the energy space
- Integrals of nonlinear equations of evolution and solitary waves
- Asymptotic stability of solitons for subcritical generalized KdV equations
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