On the Long Time Behavior of Solutions to the Intermediate Long Wave Equation

DOI10.1137/19M1293181zbMath1475.37079arXiv1910.03897OpenAlexW3133182425MaRDI QIDQ4964797

Claudio Muñoz, Gustavo Ponce, Jean Claude Saut

Publication date: 4 March 2021

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

Full work available at URL: https://arxiv.org/abs/1910.03897

zbMATH Keywords

intermediate long wave equationdecay estimatesvirial

Mathematics Subject Classification ID

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 equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Traveling wave solutions (35C07)

Related Items (5)

On some regularity properties for the dispersive generalized Benjamin-Ono-Zakharov-Kuznetsov equation ⋮ On the propagation of regularity for solutions of the Zakharov–Kuznetsov equation ⋮ On local energy decay for large solutions of the Zakharov-Kuznetsov equation ⋮ On the decay problem for the Zakharov and Klein-Gordon-Zakharov systems in one dimension ⋮ On Long Time Behavior of Solutions of the Schrödinger--Korteweg--de Vries System

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