Saut, Jean-Claude Remarks on the generalized Kadomtsev-Petviashvili equations. (English) Zbl 0814.35119 Indiana Univ. Math. J. 42, No. 3, 1011-1026 (1993). The author studies the generalized KP equations \[ u_ t + u^ pu_ x + u_{xxx} + \varepsilon v_{y} = 0, \quad u_ y = v_ x. \] The aim is to investigate blow-up properties of solutions. The blow-up result concerns the case \(\varepsilon = - 1\) and \(p \geq 4\). The paper contains also results on local solvability. Reviewer: A.Pankov (Vinnitsa) Cited in 1 ReviewCited in 47 Documents MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 35B40 Asymptotic behavior of solutions to PDEs Keywords:blow-up; local solvability PDF BibTeX XML Cite \textit{J.-C. Saut}, Indiana Univ. Math. J. 42, No. 3, 1011--1026 (1993; Zbl 0814.35119) Full Text: DOI