Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Classical Solutions for the Generalized Kawahara-KdV System

Version 1 : Received: 27 April 2023 / Approved: 28 April 2023 / Online: 28 April 2023 (04:39:42 CEST)

A peer-reviewed article of this Preprint also exists.

Georgiev, S.G.; Boukarou, A.; Bouhali, K.; Zennir, K.; Elkhair, H.M.; Hassan, E.I.; Alfedeel, A.H.A.; Alarfaj, A.M. Classical Solutions for the Generalized Kawahara–KdV System. Symmetry 2023, 15, 1159. Georgiev, S.G.; Boukarou, A.; Bouhali, K.; Zennir, K.; Elkhair, H.M.; Hassan, E.I.; Alfedeel, A.H.A.; Alarfaj, A.M. Classical Solutions for the Generalized Kawahara–KdV System. Symmetry 2023, 15, 1159.

Abstract

In this article we investigate the generalized Kawahara-KdV system. A new topological approach is applied to prove the existence of at least one classical solution and at least two nonnegative classical solutions. The arguments are based upon recent theoretical results.

Keywords

Fractional derivatives; Generalized Kawahara-KdV system; existence; classical solution.

Subject

Physical Sciences, Mathematical Physics

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