Geodesic
Weak Solutions of a Mixed Problem in a Half-Strip for a Generalized Kawahara Equation
Matematičeskie zametki, Tome 85 (2009) no. 1, pp. 98-109

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We consider a mixed problem in a half-strip for a generalized Kawahara equation describing long nonlinear waves in inhomogeneous media with weak dispersion. We study the existence and uniqueness of generalized solutions in Sobolev weight spaces.
Keywords: Kawahara equation, long nonlinear wave, inhomogeneous medium, weak dispersion, Korteweg–de Vries (KdV) equation, Parseval's equality. 
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K. Sangare; A. V. Faminskii. Weak Solutions of a Mixed Problem in a Half-Strip for a Generalized Kawahara Equation. Matematičeskie zametki, Tome 85 (2009) no. 1, pp. 98-109. http://geodesic.mathdoc.fr/item/MZM_2009_85_1_a8/