Stability of the line soliton of the Kadomtsev-Petviashvili-I equation with the critical traveling speed.

zbMath1474.35095arXiv1710.10115MaRDI QIDQ2200755

Yohei Yamazaki

Publication date: 22 September 2020

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.10115

zbMATH Keywords

Lyapunov functionperturbationcritical exponentLax pairlinearized operator

Mathematics Subject Classification ID

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)

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