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Teoreticheskaya i Matematicheskaya Fizika, 1988, Volume 74, Number 1, Pages 61–68
(Mi tmf4168)
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This article is cited in 1 scientific paper (total in 1 paper)
Kinks in systems with cubic and quartic anharmonicity
V. N. Kashcheev
Abstract:
For a classical system of interacting particles with on-site cubic
or quartic anharmonicity explicit analytic solutions of the
d'Alembert equation are obtained in the form of kinks in the
presence of dissipation (viscous or Rayleigh) and a constant force.
These kinks will be asymptotically stable in the case of quartic
anharmonicity and unstable in the case cubic anharmonicity.
Received: 13.06.1986
Citation:
V. N. Kashcheev, “Kinks in systems with cubic and quartic anharmonicity”, TMF, 74:1 (1988), 61–68; Theoret. and Math. Phys., 74:1 (1988), 43–48
Linking options:
https://www.mathnet.ru/eng/tmf4168 https://www.mathnet.ru/eng/tmf/v74/i1/p61
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