On the dispersionless Kadomtsev–Petviashvili equation with arbitrary nonlinearity and dimensionality: exact solutions, longtime asymptotics of the Cauchy problem, wave breaking and shocks

DOI10.1088/1751-8113/49/40/405203zbMath1358.37108arXiv1512.05187OpenAlexW3099524869MaRDI QIDQ2832442

F. Santucci, Paolo Maria Santíni

Publication date: 11 November 2016

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

Full work available at URL: https://arxiv.org/abs/1512.05187

zbMATH Keywords

Cauchy problemlong-time behaviorwave breakinggeneralized dispersionless Kadomtsev-Petviashvili equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) 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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