Remarks on the generalized Kadomtsev-Petviashvili equations and two-dimensional Benjamin-Ono equations

DOI10.1098/rspa.1996.0084zbMath0867.35083OpenAlexW1982813059MaRDI QIDQ3128378

Yong Qian Han, Bo-ling Guo

Publication date: 16 April 1997

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1996.0084

zbMATH Keywords

existenceuniquenessCauchy problemKadomtsev-Petviashvili equationslocal solutionsBenjamin-Ono equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (5)

On the uniform bound of solutions for the KP-type equations ⋮ Instability of solitary waves of two-dimensional Benjamin equation ⋮ Blow up and instability of solitary wave solutions to a generalized Kadomtsev–Petviashvili equation and two-dimensional Benjamin–Ono equations ⋮ Remarks on solitary waves of the generalized two dimensional Benjamin-Ono equation ⋮ Periodic and chaotic behaviour in a reduced form of the perturbed generalized Korteweg-de Vries and Kadomtsev-Petviashvili equations

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