Smoothness and Exponential Decay ofL2-Compact Solutions of the Generalized KdV Equations

DOI10.1081/PDE-120025497zbMath1060.35125MaRDI QIDQ4446130

Celine Laurent, Yvan Martel

Publication date: 25 January 2004

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

solitonsblow upuniform exponential decayasymptotic behavior of global solutions\(C^\infty\) regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Related Items (4)

A nonlinear Liouville property for the generalized Kawahara equation ⋮ Asymptotic stability of solitary waves of the 3D quadratic Zakharov-Kuznetsov equation ⋮ Inelastic interaction of nearly equal solitons for the quartic gKdV equation ⋮ Sharp asymptotics for the minimal mass blow up solution of the critical gKdV equation

Cites Work

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• Uniqueness of Solutions for the Generalized Korteweg–de Vries Equation
• The emergence of solitons of the korteweg-de vries equation from arbitrary initial conditions
• Stability and instability of solitary waves of Korteweg-de Vries type
• The Korteweg–deVries Equation: A Survey of Results
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• Blow up in finite time and dynamics of blow up solutions for the 𝐿²–critical generalized KdV equation
• Asymptotic stability of solitons for subcritical generalized KdV equations

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