$L^2$-stability of solitary waves for the KdV equation via Pego and Weinstein's method

zbMath1316.35255arXiv1403.5321MaRDI QIDQ5178538

Tetsu Mizumachi, Nickolay Tzvetkov

Publication date: 16 March 2015

Full work available at URL: https://arxiv.org/abs/1403.5321

zbMATH Keywords

stabilitysolitary wavesthe KdV equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (5)

Asymptotic stability of high-dimensional Zakharov-Kuznetsov solitons ⋮ Asymptotic stability of solitons for mKdV ⋮ Asymptotics of step-like solutions for the Camassa-Holm equation ⋮ The Phase Shift of Line Solitons for the KP-II Equation ⋮ Long-term stability for KdV solitons in weighted \(H^s\) spaces

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