Symmetry
(May 2023)
Classical Solutions for the Generalized Kawahara–KdV System
Svetlin G. Georgiev,
A. Boukarou,
Keltoum Bouhali,
Khaled Zennir,
Hatim M. Elkhair,
Eltegani I. Hassan,
Alnadhief H. A. Alfedeel,
Almonther Alarfaj
Affiliations
Svetlin G. Georgiev
Department of Differential Equations, Faculty of Mathematics and Informatics, University of Sofia, 1164 Sofia, Bulgaria
A. Boukarou
Dynamic Systems Laboratory, Faculty of Mathematics, University of Science and Technology Houari Boumediene, Bab Ezzouar 16000, Algeria
Keltoum Bouhali
Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass 51452, Saudi Arabia
Khaled Zennir
Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass 51452, Saudi Arabia
Hatim M. Elkhair
Deanship of Scientific Research, Imam Mohammad Ibn Saud Islamic University, P.O. Box 5701, Riyadh 11432, Saudi Arabia
Eltegani I. Hassan
Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia
Alnadhief H. A. Alfedeel
Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia
Almonther Alarfaj
Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia
DOI
https://doi.org/10.3390/sym15061159
Journal volume & issue
Vol. 15,
no. 6
Abstract
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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 non-negative classical solutions. The arguments are based upon recent theoretical results.
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