Classical Solutions for the Generalized Kawahara–KdV System-Reference-Cited by-同舟云学术

Classical Solutions for the Generalized Kawahara–KdV System

Published:2023-05-26 Issue:6 Volume:15 Page:1159
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Georgiev Svetlin G.¹,Boukarou A.²^ORCID,Bouhali Keltoum³⁴,Zennir Khaled³^ORCID,Elkhair Hatim M.⁵,Hassan Eltegani I.⁶,Alfedeel Alnadhief H. A.⁶,Alarfaj Almonther⁶

Affiliation:

1. Department of Differential Equations, Faculty of Mathematics and Informatics, University of Sofia, 1164 Sofia, Bulgaria

2. Dynamic Systems Laboratory, Faculty of Mathematics, University of Science and Technology Houari Boumediene, Bab Ezzouar 16000, Algeria

3. Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass 51452, Saudi Arabia

4. Département des Mathématiqus, Université 20 Août 1955 Skikda Bp 26 Route El-Hadaiek, Skikda 21000, Algeria

5. Deanship of Scientific Research, Imam Mohammad Ibn Saud Islamic University, P.O. Box 5701, Riyadh 11432, Saudi Arabia

6. Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia

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 non-negative classical solutions. The arguments are based upon recent theoretical results.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/6/1159/pdf

Reference12 articles.

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