Analytical dynamics to the interactions of a diffusive mussel–algae model

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Tarih

2025-06

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Elsevier BV

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

This paper examines the diffusive mussel–algae model and explores soliton solutions and wave structures using advanced analytical techniques, particularly the new auxiliary equation method. The proposed method reveals a variety of solution types, including hyperbolic, parabolic, and mixed forms. These closed-form results provide the nature of the current problem. These solutions are validated against known results and numerical simulations. Additionally, we describe two-dimensional and three-dimensional graphical representations of the solutions, illustrating their spatial and temporal dynamics. This study enhances the theoretical understanding of mussel algae interactions and offers practical insights for eco-logical management, showcasing the contributions of the approach to resolving complex ecological dynamics

Açıklama

Anahtar Kelimeler

Algebraic, Dynamics, Phenomena, Physical, System, Transformations, Velocity, Wave structures

Kaynak

Partial Differential Equations in Applied Mathematics

WoS Q Değeri

Scopus Q Değeri

Q1

Cilt

14

Sayı

Künye

Jawaz, M., Shahzad, M., Ahmed, N., Baber, M. Z., Iqbal, M., & Akgül, A. (2025). Analytical dynamics to the interactions of a diffusive mussel-algae model. Partial Differential Equations in Applied Mathematics, 101151.