Solitons in the presence of a small, slowly varying perturbation
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Publication:5120810
DOI10.1080/00036811.2018.1559301zbMath1448.35450arXiv1712.08473OpenAlexW2905590206WikidataQ128697376 ScholiaQ128697376MaRDI QIDQ5120810
Publication date: 16 September 2020
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.08473
Symplectic manifolds (general theory) (53D05) KdV equations (Korteweg-de Vries equations) (35Q53) Second-order nonlinear hyperbolic equations (35L70) Soliton solutions (35C08)
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Cites Work
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- Asymptotic stability of high-dimensional Zakharov-Kuznetsov solitons
- Scattering of solitons for coupled wave-particle equations
- Stability of the solitary manifold of the perturbed sine-Gordon equation
- Stability theory for solitary-wave solutions of scalar field equations
- Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
- On scattering of solitons for the Klein-Gordon equation coupled to a particle
- Perturbation theory for kinks
- Helical solitons in vector modified Korteweg-de Vries equations
- Rogue waves for the coupled variable-coefficient fourth-order nonlinear Schrödinger equations in an inhomogeneous optical fiber
- Solitons for the (2+1)-dimensional Konopelchenko-Dubrovsky equations
- Rogue waves for a variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics
- Solitons in multi-body interactions for a fully modulated cubic-quintic Gross-Pitaevskii equation
- Long time oscillation of solutions of nonlinear Schrödinger equations near minimal mass ground state
- Looking at a nonlinear inhomogeneous optical fiber through the generalized higher-order variable-coefficient Hirota equation
- Nonlinear stability of 2-solitons of the sine-Gordon equation in the energy space
- Slow solution interaction with delta imperiums
- Long time motion of NLS solitary waves in a confining potential
- Solitary wave dynamics in an external potential
- Multichannel nonlinear scattering for nonintegrable equations
- Backlund Transformation and L2-stability of NLS Solitons
- Kink dynamics in the $\phi ^4$ model: Asymptotic stability for odd perturbations in the energy space
- Dynamics of KdV Solitons in the Presence of a Slowly Varying Potential
- Particle states of a quantized meson field
- Soliton Interaction with Slowly Varying Potentials
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- On the stability theory of solitary waves
- Applications of Leray–Schauder degree theory to problems of hydrodynamic stability
- Solitons on pseudo-Riemannian manifolds I. The sine-Gordon equation
- Normalized solutions for nonlinear Schrödinger systems on bounded domains
- Spectral stability of shifted states on star graphs
- Long‐time dynamics of KdV solitary waves over a variable bottom
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