On the dispersionless Kadomtsev–Petviashvili equation inn+1 dimensions: exact solutions, the Cauchy problem for small initial data and wave breaking

DOI10.1088/1751-8113/44/40/405203zbMath1241.35181arXiv1001.2134OpenAlexW2004404110MaRDI QIDQ3094315

Publication date: 24 October 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.2134

zbMATH Keywords

wave breaking Kadomtsev-Petviashvili equation quasi-one-dimensional waves in \(n+1\) dimensions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07) Initial-boundary value problems for systems of nonlinear first-order PDEs (35F61)

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