Approximations of solitary waves on lattices using weak and variational formulations

DOI10.1016/0960-0779(92)90026-JzbMath0766.34009OpenAlexW2039582073MaRDI QIDQ1196039

Jonathan A. D. Wattis, David B. Duncan

Publication date: 18 January 1993

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(92)90026-j

zbMATH Keywords

variational formulationtravelling wave solutionsinfinite dimensional systems of ordinary differential equationsnode points of a regular lattice

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Soliton equations (35Q51) Ordinary differential equations of infinite order (34A35)

Related Items (7)

Existence theorem for solitary waves on lattices ⋮ Solitary waves in FPU-type lattices ⋮ Conservation laws for two \((2+1)\)-dimensional differential-difference systems ⋮ Unnamed Item ⋮ Spectro-spatial wave features as detectors and classifiers of nonlinearity in periodic chains ⋮ Variational approximations to breather modes in the discrete sine-Gordon equation ⋮ Solitons on lattices

Cites Work

• Nonlinear coherent structures in physics and biology. Proceedings of the 7th interdisciplinary workshop, held at Dijon, France, 4-6 June, 1991
• Symplectic integration of Hamiltonian systems
• Approximations to solitary waves on lattices. II. quasi-continuum methods for fast and slow waves
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Approximations of solitary waves on lattices using weak and variational formulations