Stability or instability of solitary waves to double dispersion equation with quadratic-cubic nonlinearity

DOI10.1016/J.MATCOM.2016.03.010OpenAlexW2332931072MaRDI QIDQ2229009

Natalia T. Kolkovska, Nickolai Kutev, Milena Dimova

Publication date: 19 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2016.03.010

zbMATH Keywords

stabilitysolitary wavesdouble dispersion equation

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX)

Cites Work

• Instability of solitary waves for generalized Boussinesq equations
• Nonlinear scalar field equations. I: Existence of a ground state
• Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
• Stability theory of solitary waves in the presence of symmetry. I
• Global existence to generalized Boussinesq equation with combined power-type nonlinearities
• Instability and stability properties of traveling waves for the double dispersion equation
• Strong instability of solitary waves for nonlinear Klein-Gordon equations and generalized Boussinesq equations
• Instability and Blow-Up of Solutions to a Generalized Boussinesq Equation

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