Numerical, experimental, and analytical studies of the dissipative Toda lattice

DOI10.1016/0167-2789(90)90002-7zbMath0705.35122OpenAlexW1586417288MaRDI QIDQ917805

T. Kuusela, Jarmo Hietarinta

Publication date: 1990

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(90)90002-7

zbMATH Keywords

dissipationToda latticeinverse scattering methodtravelling solitary wave

Mathematics Subject Classification ID

Theoretical approximation in context of PDEs (35A35) Soliton equations (35Q51)

Related Items (5)

AC-driven damped Toda lattice ⋮ Numerical, experimental, and analytical studies of the dissipative Toda lattice. II: Elastic scattering of solitary waves ⋮ Soliton dynamics for near integrable differential-difference equations ⋮ Canonical methods for Hamiltonian systems: Numerical experiments ⋮ Soliton experiments in transmission lines.

Cites Work

• Nonlinear normal modes for the Toda chain
• Trapping and fusion of solitons in a nonuniform Toda lattice
• Closure of the squared Zakharov-Shabat eigenstates
• Inelastic scattering of Toda solitons by an interface
• Nonlinear differential−difference equations
• Nonlinear differential–difference equations and Fourier analysis
• A Green’s function for a linear equation associated with solitons
• An exact solution for a derivative nonlinear Schrödinger equation
• Soliton Evolution in the Presence of Perturbation
• On the Toda Lattice. II: Inverse-Scattering Solution
• The Toda lattice. II. Existence of integrals

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