Stability in the energy space of the sum of \(N\) solitary waves for an equation modelling shallow water waves of moderate amplitude

DOI10.3934/dcdsb.2022105zbMath1501.35069OpenAlexW4285309943MaRDI QIDQ2093448

Xingxing Liu

Publication date: 8 November 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2022105

zbMATH Keywords

orbital stabilityhigher-order nonlinearityshallow water waves of moderate amplitude\(N\) solitary waves

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for nonlinear higher-order PDEs (35G25) Soliton solutions (35C08)

Related Items (1)

Wave breaking phenomena for the generalized hyperelastic rod wave equation

Cites Work

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• Exponential decay of H ¹ -localized solutions and stability of the train of N solitary waves for the Camassa–Holm equation
• Solitary Traveling Water Waves of Moderate Amplitude

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