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- W2205709095 abstract "The Toda lattice is a simple nonlinear differential-difference equation which was derived by TODA [1] as a model describing the propagation of waves along a chain of particles of equal mass with an exponential restoring force between them. If Qn is the displacement from equilibrium of the nth particle then the equation of motion is $${ddot Q_n} = exp left( {{Q_{n - 1}} - {Q_n}} right), - ,exp left( {{Q_n} - {Q_{n + 1}}} right),$$(1)Eq. (1) is also a model for a nonlinear electric filter [2]. The great interest in (1) lies in the fact that it is a completely integrable Hamiltonian system [3,41 Here it is our intention to firstly show that there is a connection between (1) and other interesting Hamiltonian N-body systems and secondly to investigate the equivalent p.d.e.’s obtained in the continuum limit. In both cases there is a simple connection with the KdV/Boussinesq equations." @default.
- W2205709095 created "2016-06-24" @default.
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- W2205709095 date "1978-01-01" @default.
- W2205709095 modified "2023-09-23" @default.
- W2205709095 title "Poles of the Toda Lattice" @default.
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- W2205709095 doi "https://doi.org/10.1007/978-3-642-81291-0_4" @default.
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