Existence of Classical Solutions for Broer-Kaup Equations


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Authors: D. BOURENI, S. G. GEORGIEV, A. KHELOUFI AND K. MEBARKI

DOI: 10.46793/KgJMat2501.125B

Abstract:

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.



Keywords:

Broer-Kaup equations, classical solution, fixed point, initial value problem.



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