Review of long time asymptotics and collision of solitons for the quartic generalized Korteweg—de Vries equation

DOI10.1017/S030821051000003XzbMath1219.35248MaRDI QIDQ2996695

Frank Merle, Yvan Martel

Publication date: 3 May 2011

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

KdV equationcollision of solitonsasymptonic stability of solitonsintegrable and nonintegrable systemsmultisoltons problemsquartic generalized KdV equaton

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (7)

Asymptotic stability of solitons for mKdV ⋮ Multi-Solitary Waves for the Nonlinear Klein-Gordon Equation ⋮ Long time behavior of solutions of gKdV equations ⋮ Stability of periodic waves in Hamiltonian PDEs of either long wavelength or small amplitude ⋮ On weak interaction between a ground state and a trapping potential ⋮ Global attractor for weakly damped gKdV equations in higher Sobolev spaces ⋮ Nondegeneracy, Morse index and orbital stability of the KP-I lump solution

This page was built for publication: Review of long time asymptotics and collision of solitons for the quartic generalized Korteweg—de Vries equation