Some remarks on the stability and instability properties of solitary waves for the double dispersion equation

DOI10.3176/PROC.2015.3.09zbMath1333.35190OpenAlexW2229871457MaRDI QIDQ5744289

Saadet Erbay, H. A. Erbay, Albert Kohen Erkip

Publication date: 18 February 2016

Published in: Proceedings of the Estonian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3176/proc.2015.3.09

zbMATH Keywords

travelling wavessolitary wavesBoussinesq equationorbital stabilitydouble dispersion equationinstability by blow-up

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Nonlinear waves in solid mechanics (74J30) PDEs in connection with mechanics of deformable solids (35Q74) Blow-up in context of PDEs (35B44) Traveling wave solutions (35C07) Soliton solutions (35C08)

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