Geodesic
Construction of periodic solutions of a Boussinnesq type equation using the method of quasi-normal forms
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 207-220

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Using the asymptotic method of quasi-normal forms the dynamic characteristics of the following boundary value problem are analyzed: $$ \begin{array}{c} u_{tt}-u_{xx}-\varepsilon a^2 u_{xxtt} =\varepsilon\alpha u_{xxt}+\varepsilon u_{t}-u^2u_{t}, \\[2mm] \left.u\right|_{x=0}=\left.u\right|_{x=1}=0,\quad \alpha=\mathrm{const}>0,\quad 0\varepsilon\ll1. \end{array} $$ 
@article{FPM_1995_1_1_a10,
     author = {A. Yu. Kolesov and N. Kh. Rozov},
     title = {Construction of periodic solutions of a {Boussinnesq} type equation using the method of quasi-normal forms},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {207--220},
     publisher = {mathdoc},
     volume = {1},
     number = {1},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a10/}
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A. Yu. Kolesov; N. Kh. Rozov. Construction of periodic solutions of a Boussinnesq type equation using the method of quasi-normal forms. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 207-220. http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a10/