Stationary multi-kinks in the discrete sine-Gordon equation

DOI10.1088/1361-6544/ac3f8dzbMath1487.37088arXiv2106.07063OpenAlexW3172003676MaRDI QIDQ5019965

Alejandro B. Aceves, Ross Parker, Panayotis G. Kevrekidis

Publication date: 11 January 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.07063

zbMATH Keywords

nonlinear wavesdynamical systemsdiscrete Hamiltonian systemsdiscrete sine-Gordon equation

Mathematics Subject Classification ID

Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60) Partial difference equations (39A14) Integrable difference and lattice equations; integrability tests (39A36)

Related Items (5)

Revisiting multi-breathers in the discrete Klein–Gordon equation: a spatial dynamics approach ⋮ Periodic multi-pulses and spectral stability in Hamiltonian PDEs with symmetry ⋮ Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, \(N\)-fold Darboux transformation and explicit exact solutions ⋮ Kink-antikink interaction forces and bound states in a nonlinear Schrödinger model with quadratic and quartic dispersion ⋮ Studies on a three-field lattice system: \(N\)-fold Darboux transformation, conservation laws and analytic solutions

Uses Software

• GniCodes

Cites Work

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