Stability and instability of solitary waves for a system of coupled BBM equations

DOI10.1080/00036810410001724355zbMath1081.35099OpenAlexW2014573521WikidataQ58307368 ScholiaQ58307368MaRDI QIDQ5707898

Jardel Morais Pereira

Publication date: 25 November 2005

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810410001724355

zbMATH Keywords

stabilityinstabilitysolitary wavesgeneralized BBM equationsGrillakis-Shatah-Strauss' methodinteraction of long waves

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)

Related Items

Stability of the solitary wave solutions to a coupled BBM system ⋮ Exponential stabilization of periodic solutions of a system of KdV equations

Cites Work

• Stability theory of solitary waves in the presence of symmetry. I
• Stability and symmetry of solitary-wave solutions to systems modeling interactions of long waves
• Stability and instability of solitary waves of Korteweg-de Vries type
• Existence and dynamic stability of solitary wave solutions of equations arising in long wave propagation
• Stability and instability of solitary waves for a nonlinear dispersive system