PHASE-DRIVEN INTERACTION OF WIDELY SEPARATED NONLINEAR SCHRÖDINGER SOLITONS
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Publication:4649849
DOI10.1142/S0219891612500166zbMath1256.35137arXiv1108.4859MaRDI QIDQ4649849
Publication date: 15 November 2012
Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1108.4859
NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)
Related Items (4)
Stability of multi-solitons in the cubic NLS equation ⋮ Invariant manifold of modified solitons for the perturbed sine-Gordon equation ⋮ Benjamin–Ono soliton dynamics in a slowly varying potential ⋮ Stability of the solitary manifold of the perturbed sine-Gordon equation
Cites Work
- Solution interaction with small Toeplitz potentials for the Szegő equation on \(\mathbb R\)
- Solitary waves for the Hartree equation with a slowly varying potential
- Effective dynamics of double solitons for perturbed mKdV
- Long time dynamics near the symmetry breaking bifurcation for nonlinear Schrödinger/Gross-Pitaevskii equations
- Stability theory of solitary waves in the presence of symmetry. II
- Stability theory of solitary waves in the presence of symmetry. I
- Stability in \(H^1\) of the sum of \(K\) solitary waves for some nonlinear Schrödinger equations
- Solitary wave dynamics in an external potential
- Asymptotic Stability of Multi-soliton Solutions for Nonlinear Schrödinger Equations
- Two-soliton solutions to the three-dimensional gravitational Hartree equation
- Effective dynamics of solitons in the presence of rough nonlinear perturbations
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- On the stability of KdV multi‐solitons
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