Justification of the KP-II approximation in dynamics of two-dimensional FPU systems

DOI10.1007/s00033-022-01846-1zbMath1498.35476arXiv2111.03499OpenAlexW3213879953MaRDI QIDQ2082156

Dmitry E. Pelinovsky, Nikolay Hristov

Publication date: 4 October 2022

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.03499

zbMATH Keywords

Korteweg-de Vries equationsquare latticeKadomtsev-Petviashvili equationFermi-Pasta-Ulam systemsolitary and periodic waves

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Lattice dynamics; integrable lattice equations (37K60) Soliton solutions (35C08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Trigonometric solutions to PDEs (35C09)

Related Items (4)

KP-II Approximation for a Scalar Fermi–Pasta–Ulam System on a 2D Square Lattice ⋮ Macroscopic wave propagation for 2D lattice with random masses ⋮ A semi-periodic initial-value problem for the Kadomtsev–Petviashvili II equation ⋮ The KP limit of a reduced quantum Euler–Poisson equation

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