Interactions of solitary waves in integrable and nonintegrable lattices

DOI10.1063/1.5121427zbMath1450.37067OpenAlexW3014824328WikidataQ94481023 ScholiaQ94481023MaRDI QIDQ3303823

Gino Biondini, Guo Deng, Surajit Sen

Publication date: 4 August 2020

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5121427

zbMATH Keywords

solitary wave interactionscollision processintegrable Toda systemnon-integrable Hertz system

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60) Integrable difference and lattice equations; integrability tests (39A36)

Related Items (3)

Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation ⋮ Nanoptera in nonlinear woodpile chains with zero precompression ⋮ Nanoptera in Weakly Nonlinear Woodpile Chains and Diatomic Granular Chains

Cites Work

• Unnamed Item
• Unnamed Item
• Theory of nonlinear lattices
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• The equilibrium phase in heterogeneous Hertzian chains
• The toda shock problem
• Integrals of the Toda lattice
• On the Toda Lattice. II: Inverse-Scattering Solution
• The Toda lattice. II. Existence of integrals

This page was built for publication: Interactions of solitary waves in integrable and nonintegrable lattices