Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Why are solitons stable? - MaRDI portal

Why are solitons stable? (Q5503663)

From MaRDI portal

Jump to:navigation, search

scientific article; zbMATH DE number 5493253

Language	Label	Description	Also known as
English	Why are solitons stable?	scientific article; zbMATH DE number 5493253

Statements

scholarly article

0 references

Why are solitons stable? (English)

0 references

Bulletin of the American Mathematical Society

0 references

publication date

16 January 2009

0 references

full work available at URL

https://arxiv.org/abs/0802.2408

0 references

zbMATH Keywords

soliton

0 references

KdV equation

0 references

inverse scattering

0 references

mass conservation

0 references

Hamiltonian

0 references

dispersion

0 references

0 references

MaRDI profile type

MaRDI publication profile

0 references

The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

0 references

0 references

On the stability theory of solitary waves

0 references

Conservative, high-order numerical schemes for the generalized Korteweg—de Vries equation

0 references

Stability and instability of solitary waves of Korteweg-de Vries type

0 references

0 references

0 references

Orbital stability of standing waves for some nonlinear Schrödinger equations

0 references

Uniqueness of the ground state solution for \(\Delta u - u + u^3=0\) and a variational characterization of other solutions

0 references

Construction of solutions to the subcritical gKdV equations with a given asymptotical behavior

0 references

Construction of solutions to the \(L^2\)-critical KdV equation with a given asymptotic behaviour

0 references

0 references

Inverse scattering on the line

0 references

Asymptotic stability of solitary waves for the Benjamin-Bona-Mahony equation

0 references

Asymptotic stability of solitary waves for the Benjamin-Bona-Mahony equation

0 references

0 references

Method for Solving the Korteweg-deVries Equation

0 references

0 references

On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations

0 references

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

0 references

Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons

0 references

0 references

Fast soliton scattering by delta impurities

0 references

Soliton Interaction with Slowly Varying Potentials

0 references

Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case

0 references

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

0 references

The cubic nonlinear Schrödinger equation in two dimensions with radial data

0 references

The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher

0 references

Stable manifolds for all monic supercritical focusing nonlinear Schrödinger equations in one dimension

0 references

Non-generic blow-up solutions for the critical focusing NLS in 1-D

0 references

On the focusing critical semi-linear wave equation

0 references

Renormalization and blow up for charge one equivariant critical wave maps

0 references

Slow blow-up solutions for the \(H^1(\mathbb R^3)\) critical focusing semilinear wave equation

0 references

0 references

Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)

0 references

Smoothness and Exponential Decay of<i>L</i><sup>2</sup>-Compact Solutions of the Generalized KdV Equations

0 references

Integrals of nonlinear equations of evolution and solitary waves

0 references

Asymptotic N -soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations

0 references

Linear Problems Related to Asymptotic Stability of Solitons of the Generalized KdV Equations

0 references

A Liouville theorem for the critical generalized Korteweg-de Vries equation

0 references

Asymptotic stability of solitons for subcritical generalized KdV equations

0 references

Blow up in finite time and dynamics of blow up solutions for the 𝐿²–critical generalized KdV equation

0 references

Nonexistence of blow-up solution with minimal \(L^2\)-mass for the critical gKdV equation

0 references

Stability of blow-up profile and lower bounds for blow-up rate for the critical generalized KdV equation

0 references

Asymptotic stability of solitons of the subcritical gKdV equations revisited

0 references

Refined asymptotics around solitons for gKdV equations

0 references

Asymptotic stability of solitons of the gKdV equations with general nonlinearity

0 references

Description of two soliton collision for the quartic gKdV equation

0 references

Stability of two soliton collision for nonintegrable gKdV equations

0 references

0 references

0 references

Stability and asymptotic stability for subcritical gKdV equations

0 references

Stability in \(H^1\) of the sum of \(K\) solitary waves for some nonlinear Schrödinger equations

0 references

Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power

0 references

Existence of blow-up solutions in the energy space for the critical generalized KdV equation

0 references

Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation

0 references

On universality of blow up profile for \(L^2\) critical nonlinear Schrödinger equation

0 references

The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation

0 references

A Liouville theorem for vector-valued nonlinear heat equations and applications

0 references

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

0 references

The Korteweg–deVries Equation: A Survey of Results

0 references

Asymptotic stability of solitary wave solutions to the regularized long-wave equation

0 references

Asymptotic stability of solitary waves

0 references

Asymptotic Stability of Multi-soliton Solutions for Nonlinear Schrödinger Equations

0 references

Dispersive analysis of charge transfer models

0 references

On the formation of singularities in the critical \(O(3)\) \(\sigma \)-model

0 references

Spectral theory and nonlinear partial differential equations: a survey

0 references

0 references

0 references

On the asymptotic behavior of large radial data for a focusing nonlinear Schrödinger equation

0 references

A (concentration-)compact attractor for high-dimensional nonlinear Schrödinger equations

0 references

0 references

Scattering for the quartic generalised Korteweg-de Vries equation

0 references

Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions

0 references

0 references

Nonlinear Schrödinger equations and sharp interpolation estimates

0 references

Modulational Stability of Ground States of Nonlinear Schrödinger Equations

0 references

Lyapunov stability of ground states of nonlinear dispersive evolution equations

0 references

Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States

0 references

Identifiers

zbMATH Open document ID

0 references

10.1090/S0273-0979-08-01228-7

0 references

Mathematics Subject Classification ID

0 references

zbMATH DE Number

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5503663

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q5503663&oldid=37042218"