Breather, lump and other symmetric waves-based biological bacterial colonies modeling with generalized Chavy-Waddy-Kolokolnikov analytical solutions
Mathematical and Computer Modelling of Dynamical Systems, cilt.32, sa.1, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 32 Sayı: 1
- Basım Tarihi: 2026
- Doi Numarası: 10.1080/13873954.2026.2667030
- Dergi Adı: Mathematical and Computer Modelling of Dynamical Systems
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Applied Science & Technology Source, Compendex, INSPEC, MathSciNet, zbMATH, Directory of Open Access Journals, Academic Search Ultimate (EBSCO), Engineering Source (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Anahtar Kelimeler: generalized Chavy-Waddy-Kokolnikov model, Hirota bilinear transformation technique, Wave symmetry
- Karadeniz Teknik Üniversitesi Adresli: Evet
Özet
This work investigates wave symmetry in bacterial pattern formation for the generalized Chavy-Waddy-Kolokolnikov (CWK) model, a nonlinear framework based on partial differential equations (PDEs). In microbiology, investigating how bacterial colonies develop spatial structures is crucial to analyzing their adaptive behaviors. By employing the Hirota bilinear transformation, we constructed numerous symmetric wave structures such as solitons, homoclinic breathers, periodic cross-kink, lumps, and M-shaped waves with kink and rogue properties. These structures help in explaining how bacterial populations organize and react to stimulation. This work employs 3D, contour, and density plots to reveal the complex dynamics of such structures. In a nutshell, this work gives new a perspective into the physical behavior of bacterial colonies and contributes to a broader understanding of pattern formation in biological systems with potential relevance to ecological and evolutionary studies.