KP-II Approximation for a Scalar Fermi–Pasta–Ulam System on a 2D Square Lattice

DOI10.1137/22m1509369zbMath1517.37077arXiv2207.10142OpenAlexW4320484584MaRDI QIDQ6038787

Dmitry E. Pelinovsky, Guido Schneider

Publication date: 3 May 2023

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.10142

zbMATH Keywords

continuum limitFermi-Pasta-Ulam systemlattice dynamicstwo-dimensional square latticeKadomtsev-Petviashvili-II equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Lattice dynamics; integrable lattice equations (37K60)

Related Items (3)

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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