Geodesic
Kinks in systems with cubic and quartic anharmonicity
Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 1, pp. 61-68 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {V. N. Kashcheev},
     title = {Kinks in~systems with cubic and quartic anharmonicity},
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     pages = {61--68},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1988_74_1_a4/}
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V. N. Kashcheev. Kinks in systems with cubic and quartic anharmonicity. Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 1, pp. 61-68. http://geodesic.mathdoc.fr/item/TMF_1988_74_1_a4/

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