Orbital stability of solitary waves of compound KdV-type equation

DOI10.1007/s10255-015-0525-xzbMath1338.35039OpenAlexW2396780849MaRDI QIDQ277088

Lanyun Bian, Xiao-shuang Bu, Hui-wen Li, Wei-Guo Zhang

Publication date: 4 May 2016

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-015-0525-x

zbMATH Keywords

solitary wavesspectral analysisorbital stabilitycompound KdV-type equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Cites Work

• On the Korteweg-de Vries equation
• Stability theory of solitary waves in the presence of symmetry. I
• Oscillatory instability of traveling waves for a KdV-Burgers equation
• Stabilization of soliton instabilities by higher order dispersion: KdV-type equations.
• Lyapunov approach to the soliton stability in highly dispersive systems. II: KdV-type equations
• Wave Propagation in Nonlinear Lattice. I
• Wave Propagation in Nonlinear Lattice. II
• Lyapunov stability of ground states of nonlinear dispersive evolution equations
• 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
• On the stability theory of solitary waves
• Eigenvalues, and instabilities of solitary waves
• Explicit exact solitary-wave solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order

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