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Isoinertial operators around the KdV multi-solitons (Q2119416)

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English	Isoinertial operators around the KdV multi-solitons	scientific article

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scholarly article

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Isoinertial operators around the KdV multi-solitons (English)

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Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

29 March 2022

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zbMATH Keywords

multi-solitons

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stability

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recursion operator

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isoinertial

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.na.2022.112820

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The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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A uniqueness result for 2-soliton solutions of the Korteweg-de Vries equation

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The Gardner equation and the 𝐿²-stability of the 𝑁-soliton solution of the Korteweg-de Vries equation

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On the stability theory of solitary waves

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Stability of solitary waves in higher-order Sobolev spaces

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Elliptic solutions of the defocusing NLS equation are stable

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Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation

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The Korteweg-de Vries equation at \(H^{-1}\) regularity

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Orbital stability of standing waves for some nonlinear Schrödinger equations

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Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋

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Orbital stability in the cubic defocusing NLS equation. I: Cnoidal periodic waves

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Korteweg-de Vries Equation and Generalizations. IV. The Korteweg-de Vries Equation as a Hamiltonian System

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Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion

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New types of soliton solutions

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Stability theory of solitary waves in the presence of symmetry. I

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Global well-posedness of Korteweg-de Vries equation in \(H^{-3/4}(\mathbb R)\)

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On the stability of<i>N</i>-solitons in integrable systems

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Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle

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Orbital stability of KdV multisolitons in \(H^{-1}\)

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KdV is well-posed in \(H^{-1}\)

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Low regularity conservation laws for integrable PDE

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Well-posedness of the Cauchy problem for the Korteweg-de Vries equation at the critical regularity.

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Energy and local energy bounds for the 1-d cubic NLS equation in \(H^{-\frac{1}{4}}\)

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Conserved energies for the cubic nonlinear Schrödinger equation in one dimension

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Spectral stability and time evolution of<i>N</i>-solitons in the KdV hierarchy

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Integrals of nonlinear equations of evolution and solitary waves

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Periodic solutions of the KdV equation

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Stability of the multi-solitons of the modified Korteweg–de Vries equation <sup>*</sup>

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Instability, index theorem, and exponential trichotomy for Linear Hamiltonian PDEs

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On the stability of KdV multi‐solitons

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Asymptotic stability of solitons for subcritical generalized KdV equations

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Stability and asymptotic stability for subcritical gKdV equations

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Sharp ill-posedness results for the KdV and mKdV equations on the torus

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Stability of integrable and nonintegrable structures

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Isoinertial family of operators and convergence of KdV cnoidal waves to solitons

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Orbital stability of double solitons for the Benjamin-Ono equation

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Asymptotic stability of solitary waves

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Orbital stability of Dirac solitons

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Asymptotic analysis of soliton problems. An inverse scattering approach

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Stability of smooth multi-solitons for the Camassa-Holm equation

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Lyapunov stability of ground states of nonlinear dispersive evolution equations

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Eigenfunctions of Linearized Integrable Equations Expanded Around an Arbitrary Solution

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Identifiers

zbMATH Open document ID

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10.1016/j.na.2022.112820

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2119416

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