Nonlinear Instability of a Critical Traveling Wave in the Generalized Korteweg–de Vries Equation

DOI10.1137/060651501zbMath1136.35077arXivmath/0609010OpenAlexW2083532648MaRDI QIDQ5444262

Scipio Cuccagna, Dmitry E. Pelinovsky, Andrew Komech

Publication date: 25 February 2008

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609010

zbMATH Keywords

Korteweg-de Vries equationdynamic instabilityorbital stabilitycritical soliton

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Soliton equations (35Q51)

Related Items (6)

Stability of solitary waves for a generalized derivative nonlinear Schrödinger equation ⋮ Normal form for transverse instability of the line soliton with a nearly critical speed of propagation ⋮ Asymptotic stability of solitary waves in generalized Gross-Neveu model ⋮ Instability of nonlinear dispersive solitary waves ⋮ Dynamics near a minimal-mass soliton for a Korteweg–de Vries equation ⋮ Existence and stability of standing waves for one dimensional NLS with triple power nonlinearities

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