Soliton decay in a Toda chain caused by dissipation

DOI10.1007/BF00946075zbMath0688.70016MaRDI QIDQ1264016

G. J. Brinkman, Theo P. Valkering

Publication date: 1990

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

solitoninitial conditionnonlinear modesToda chain with uniform frictionwave activates

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Dynamics of a system of particles, including celestial mechanics (70F99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (3)

Soliton dynamics in directional couplers ⋮ Soliton switching in directional couplers ⋮ Decay of travelling waves in dissipative Poisson systems

Cites Work

• Decay of travelling waves in dissipative Poisson systems
• Nonlinear normal modes for the Toda chain
• Some global results for nonlinear eigenvalue problems
• Canonically Conjugate Variables for the Korteweg-de Vries Equation and the Toda Lattice with Periodic Boundary Conditions
• Periodic travelling waves in a non-integrable one-dimensional lattice
• Period-doubling density waves in a chain
• Hopf bifurcation and symmetry: Standing and travelling waves in a circular chain
• Averaging methods in nonlinear dynamical systems

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