Decay of the solutions of the generalized Korteweg--de Vries equation at large times
Vestnik rossijskih universitetov. Matematika, Tome 24 (2019) no. 125, pp. 99-111

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In this paper the existence of weak solutions of the nonlinear generalized KdV equation is shown and conditions for which weak solutions decay to zero at large times are obtained.
Keywords: Korteweg–de Vries equation; initial-boundary problem; weak solution; decay.
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     author = {A. A. Nikolayev},
     title = {Decay of the solutions of the generalized {Korteweg--de} {Vries} equation at large times},
     journal = {Vestnik rossijskih universitetov. Matematika},
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A. A. Nikolayev. Decay of the solutions of the generalized Korteweg--de Vries equation at large times. Vestnik rossijskih universitetov. Matematika, Tome 24 (2019) no. 125, pp. 99-111. http://geodesic.mathdoc.fr/item/VTAMU_2019_24_125_a8/