Geodesic
Asymptotic expansions and qualitative analysis of finite-dimensional models in nonlinear field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 60 (1984) no. 3, pp. 395-403

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The methods of the qualitative theory of dynamical systems are used to establish the reasons that prevent the nonlinear wave equation $\square u =F(u)$ from having solutions that are periodic in time and self-localized in space. The correspondence between the qualitative behavior of the singular (separatrix) trajectories in the phase space and the asymptotic solutions of the nonlinear wave equation is considered. 
@article{TMF_1984_60_3_a5,
     author = {V. M. Eleonskii and N. E. Kulagin and N. S. Novozhilova and V. P. Silin},
     title = {Asymptotic expansions and qualitative analysis of finite-dimensional models in nonlinear field theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {60},
     number = {3},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_60_3_a5/}
}
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V. M. Eleonskii; N. E. Kulagin; N. S. Novozhilova; V. P. Silin. Asymptotic expansions and qualitative analysis of finite-dimensional models in nonlinear field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 60 (1984) no. 3, pp. 395-403. http://geodesic.mathdoc.fr/item/TMF_1984_60_3_a5/