On the unique continuation property for Kadomtsev-Petviashvili-I and Benjamin-Ono-Zakharov-Kuznetsov equations

DOI10.1112/blms/bdr048zbMath1230.35098OpenAlexW1997766099MaRDI QIDQ3103994

Amin Esfahani, Ademir Pastor Ferreira

Publication date: 19 December 2011

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdr048

zbMATH Keywords

Benjamin-Ono equationZakharov-Kuznetsov equationcomplex variable techniquecontinuation propertyKadomtsev-Petviashvili-II equationKadomtsev-Petviashvili-I equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Internal waves for incompressible inviscid fluids (76B55) Analytic continuation of functions of one complex variable (30B40) Complex-variable methods applied to problems in solid mechanics (74S70)

Related Items (9)

The IVP for the Benjamin-Ono-Zakharov-Kuznetsov equation in low regularity Sobolev spaces ⋮ On the stabilization for the high-order Kadomtsev-Petviashvili and the Zakharov-Kuznetsov equations with localized damping ⋮ Two dimensional solitary waves in shear flows ⋮ Sharp constant of an anisotropic Gagliardo-Nirenberg-type inequality and applications ⋮ On special regularity properties of solutions of the Benjamin-Ono-Zakharov-Kuznetsov (BO-ZK) equation ⋮ On the properties in solutions of the Shrira equation ⋮ The Cauchy problem for dissipative Benjamin-Ono equation in weighted Sobolev spaces ⋮ The IVP for the Benjamin-Ono-Zakharov-Kuznetsov equation in weighted Sobolev spaces ⋮ Remarks on solitary waves of the generalized two dimensional Benjamin-Ono equation

This page was built for publication: On the unique continuation property for Kadomtsev-Petviashvili-I and Benjamin-Ono-Zakharov-Kuznetsov equations