Dynamics of KdV Solitons in the Presence of a Slowly Varying Potential
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Publication:3108487
DOI10.1093/imrn/rnq284zbMath1247.35132arXiv1001.1583OpenAlexW2963933699MaRDI QIDQ3108487
Publication date: 4 January 2012
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1001.1583
Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items (9)
Freezing of energy of a soliton in an external potential ⋮ A simple model of radiating solitary waves ⋮ Effective dynamics of double solitons for perturbed mKdV ⋮ Solitons in the presence of a small, slowly varying perturbation ⋮ Invariant manifold of modified solitons for the perturbed sine-Gordon equation ⋮ Inelastic character of solitons of slowly varying gKdV equations ⋮ Benjamin–Ono soliton dynamics in a slowly varying potential ⋮ Stability of the solitary manifold of the perturbed sine-Gordon equation ⋮ Differential equations of quantum mechanics
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