Solitary wave propagation in a two-dimensional lattice

DOI10.1016/j.wavemoti.2018.08.004zbMath1469.35211OpenAlexW2885229151WikidataQ129418545 ScholiaQ129418545MaRDI QIDQ2191020

Anna Vainchtein

Publication date: 23 June 2020

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2018.08.004

zbMATH Keywords

two-dimensional latticeexact planar solitary wave solutions

Mathematics Subject Classification ID

Soliton solutions (35C08) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (2)

Solitary waves in FPU-type lattices ⋮ Breathers, cascading instabilities and Fermi-Pasta-Ulam-Tsingou recurrence of the derivative nonlinear Schrödinger equation: effects of `self-steepening' nonlinearity

Cites Work

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• High-energy waves in superpolynomial FPU-type chains
• Atomic-scale localization of high-energy solitary waves on lattices
• Soliton experiments in transmission lines.
• KdV waves in atomic chains with nonlocal interactions
• Effect of nonlinearity on the steady motion of a twinning dislocation
• The role of spinodal region in the kinetics of lattice phase transitions
• Soliton resonances in atomic nonlinear systems
• Theory of nonlinear lattices
• KdV-like solitary waves in two-dimensional FPU-lattices
• Effect of non-local interactions on soliton dynamics in anharmonic chains: Scale competition
• The Fermi-Pasta-Ulam problem. A status report
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Solitary waves on FPU lattices: II. Linear implies nonlinear stability
• ON THE CONVOLUTION OPERATOR ON A FINITE INTERVAL
• Approximations to solitary waves on lattices, III: the monatomic lattice with second-neighbour interactions
• Solitary waves on Fermi–Pasta–Ulam lattices: IV. Proof of stability at low energy
• Solitary waves on a two-dimensional lattice
• Approximations to solitary waves on lattices. II. quasi-continuum methods for fast and slow waves
• Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limit
• Multiscale correction to solitary wave solutions on FPU lattices
• Solitons on two-dimensional anharmonic square lattices
• EXPANSION IN EIGENFUNCTIONS OF INTEGRAL OPERATORS OF CONVOLUTION ON A FINITE INTERVAL WITH KERNELS WHOSE FOURIER TRANSFORMS ARE RATIONAL. “WEAKLY” NONSELFADJOINT REGULAR KERNELS

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