Stability of line solitons for the KP-II equation in ℝ2. II

DOI10.1017/S0308210517000166zbMath1391.35047OpenAlexW4241938903MaRDI QIDQ4602919

Tetsu Mizumachi

Publication date: 7 February 2018

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210517000166

zbMATH Keywords

transverse stability

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (5)

Linear stability of elastic 2-line solitons for the KP-II equation ⋮ The Phase Shift of Line Solitons for the KP-II Equation ⋮ Stability of Benney--Luke Line Solitary Waves in 2 Dimensions ⋮ Decay in the one dimensional generalized improved Boussinesq equation ⋮ On asymptotic stability of nonlinear waves

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