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KP-II Approximation for a Scalar FERMI–PASTA–Ulam System on a 2D Square Lattice

We consider a scalar Fermi–Pasta–Ulam (FPU) system on a square two-dimensional lattice. The Kadomtsev–Petviashvili (KP-II) equation can be derived by means of multiple scale expansions to describe unidirectional long waves of small amplitude with slowly varying transverse modulations. We show that the KP-II approximation makes correct predictions about the dynamics of the original FPU system. An existing approximation result is extended to an arbitrary direction of wave propagation. The main novelty of this work is the use of a Fourier transform in the analysis of the FPU system in strain variables.

Ketersediaan

Informasi Detail

Judul Seri

SIAM JOURNAL ON APPLIED MATHEMATICS; Vol.83 No.1 January-Februaru 2023

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 79-98

Bahasa

English

ISBN/ISSN

-

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

LATTICE DYNAMICS
CONTINUUM LIMIT
FERMI–PASTA–ULAM SYSTEM
TWO-DIMENSIONAL SQUARE LATTICE
KADOMTSEV–PETVIASHVILI-II EQUATION

Info Detail Spesifik

https://doi.org/10.1137/22M1509369

Pernyataan Tanggungjawab

Dmitry Pelinovsky, Guido Schneider

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