Effective dynamics of double solitons for perturbed mKdV
From MaRDI portal
Publication:634633
DOI10.1007/s00220-011-1252-7zbMath1300.37046arXiv0912.5122OpenAlexW1971422090MaRDI QIDQ634633
Justin Holmer, Maciej Zworski, Galina Perelman
Publication date: 16 August 2011
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.5122
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)
Related Items (13)
A generic framework of adiabatic approximation for nonlinear evolutions ⋮ Nonlinear stability of MKdV breathers ⋮ Nonlinear stability of Gardner breathers ⋮ On the uniqueness of multi-breathers of the modified Korteweg-de Vries equation ⋮ Dynamics of breathers in the Gardner hierarchy: universality of the variational characterization ⋮ Orbital stability of Dirac solitons ⋮ Stability of the multi-solitons of the modified Korteweg–de Vries equation * ⋮ PHASE-DRIVEN INTERACTION OF WIDELY SEPARATED NONLINEAR SCHRÖDINGER SOLITONS ⋮ Dynamics near a minimal-mass soliton for a Korteweg–de Vries equation ⋮ Benjamin–Ono soliton dynamics in a slowly varying potential ⋮ Adiabatic approximation for the motion of Ginzburg-Landau vortex filaments ⋮ Stability and instability of breathers in the U(1) Sasa–Satsuma and nonlinear Schrödinger models* ⋮ Differential equations of quantum mechanics
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Solitary waves for the Hartree equation with a slowly varying potential
- Description of two soliton collision for the quartic gKdV equation
- Effective dynamics for \(N\)-solitons of the Gross-Pitaevskii equation
- Dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations: mass transfer in systems with solitons and degenerate neutral modes
- On decompositions of the KdV 2-soliton
- On soliton dynamics in nonlinear Schrödinger equations
- Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
- Colliding solitons for the nonlinear Schrödinger equation
- Uniform semiclassical estimates for the propagation of quantum observables.
- Slow solution interaction with delta imperiums
- Stability in \(H^1\) of the sum of \(K\) solitary waves for some nonlinear Schrödinger equations
- Solitary wave dynamics in an external potential
- The Modified Korteweg-de Vries Equation
- Nonlinear-Evolution Equations of Physical Significance
- Dynamics of KdV Solitons in the Presence of a Slowly Varying Potential
- Asymptotic Stability of Multi-soliton Solutions for Nonlinear Schrödinger Equations
- Long-time dynamics of variable coefficient modified Korteweg-de Vries solitary waves
- Soliton Interaction with Slowly Varying Potentials
- Solitary wave dynamics in time-dependent potentials
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- Stability and instability of solitary waves of Korteweg-de Vries type
- Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
- The initial-value problem for the Korteweg-de Vries equation
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- On the stability of KdV multi‐solitons
- Spectral Methods in MATLAB
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
- Long‐time dynamics of KdV solitary waves over a variable bottom
- Integrals of nonlinear equations of evolution and solitary waves
This page was built for publication: Effective dynamics of double solitons for perturbed mKdV
