Stability of Solitary Waves of the Kadomtsev--Petviashvili Equation with a Weak Rotation

DOI10.1137/16M1103865zbMath1387.35042OpenAlexW2776950304MaRDI QIDQ4602196

Amin Esfahani, Steve Levandosky

Publication date: 9 January 2018

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1103865

zbMATH Keywords

solitary wavesvariational methodrotating fluidstrong instability

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Solitary waves for incompressible inviscid fluids (76B25) General theory of rotating fluids (76U05) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Rotation in hydrodynamic stability (76E07) Soliton solutions (35C08)

Related Items (3)

Symmetry of the KP-type solitary waves ⋮ Sharp well-posedness of the Cauchy problem for the rotation-modified Kadomtsev-Petviashvili equation in anisotropic Sobolev spaces ⋮ Instability and blow-up of solutions of the fifth-order KP equation

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