Geodesic
Painleve analysis of travelling wave solutions and analysis of energy estimates for a nonlinear Sobolev-type equation
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 165 (2023) no. 3, pp. 182-189

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

There is considerable interest in studying unbounded solutions of nonlinear partial equations. In many cases, energy estimates can be used to prove that the solution tends to infinity in finite time, while also providing an estimate for the latter. Here, an equation in which energy estimates fail to gauge the cases when solutions exhibit such behavior was analyzed. A class of unbounded solutions was explored using the Painleve analysis.
Keywords: nonlinear partial equation, Painleve analysis
Mots-clés : Sobolev-type equation, Laurent series. 
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     author = {A. I. Aristov},
     title = {Painleve analysis of travelling wave solutions and analysis of energy estimates for a nonlinear {Sobolev-type} equation},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {182--189},
     publisher = {mathdoc},
     volume = {165},
     number = {3},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2023_165_3_a0/}
}
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A. I. Aristov. Painleve analysis of travelling wave solutions and analysis of energy estimates for a nonlinear Sobolev-type equation. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 165 (2023) no. 3, pp. 182-189. http://geodesic.mathdoc.fr/item/UZKU_2023_165_3_a0/