Geodesic
Existence of Classical Solutions for Broer-Kaup Equations
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 1, p. 125

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In this paper we investigate the Cauchy problem for one dimensional Broer-Kaup equations for existence of global classical solutions. We give conditions under which the considered equations have at least one and at least two classical solutions. To prove our main results we propose a new approach based upon recent theoretical results.
Classification : 35Q35, 35A09, 35E15
Keywords: Broer-Kaup equations, classical solution, fixed point, initial value problem 
Dalila Boureni; Svetlin G. Georgiev; Arezki Kheloufi; Karima Mebarki. Existence of Classical Solutions for Broer-Kaup Equations. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 1, p. 125 . http://geodesic.mathdoc.fr/item/KJM_2025_49_1_a10/
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     title = {Existence of {Classical} {Solutions} for {Broer-Kaup} {Equations}},
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