Analytic and numerical nonlinear stability/instability of solitons for a Kawahara-like model

DOI10.1142/S0219530515500141zbMath1341.35126OpenAlexW2180477715MaRDI QIDQ2809234

Juan Carlos Muñoz Grajales, José Rául Quintero

Publication date: 27 May 2016

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530515500141

zbMATH Keywords

solitary wavesorbital stabilityspectral methods

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Solitary waves for incompressible inviscid fluids (76B25) Finite difference and finite volume methods for ordinary differential equations (65L12) Traveling wave solutions (35C07) Soliton solutions (35C08)

Cites Work

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• A note on the stability for Kawahara-KdV type equations
• Semigroups of linear operators and applications to partial differential equations
• Two-dimensional solitary waves for a Benney-Luke equation
• Towards a rigorous derivation of the fifth order KP equation
• Effective Behavior of Solitary Waves over Random Topography
• Fourier Methods with Extended Stability Intervals for the Korteweg–de Vries Equation