The complex KdV equation with or without dissipation

DOI10.3934/dcdsb.2005.5.489zbMath1080.35129OpenAlexW2064389621MaRDI QIDQ558613

Juan-Ming Yuan, Jiahong Wu

Publication date: 1 July 2005

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2005.5.489

zbMATH Keywords

regularitycritical dissipationcomplex KdV equationcomplex KdV-Burgers equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) A priori estimates in context of PDEs (35B45) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (5)

Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces ⋮ Blowup and ill-posedness for the complex, periodic KdV equation ⋮ Simple explicit formulae for finite time blow up solutions to the complex KdV equation ⋮ Complex-valued Burgers and KdV-Burgers equations ⋮ The effect of dissipation on solutions of the complex KdV equation

Uses Software

• Maple

This page was built for publication: The complex KdV equation with or without dissipation