Exploring solitary waves and nonlinear dynamics in the fractional Chaffee-Infante equation: a study beyond conventional diffusion models
DOI10.1007/s12346-024-01121-wzbMATH Open1547.35586MaRDI QIDQ6608700
Xiao Zhang, Mostafa M. A. Khater, Aleksander Vokhmintsev, Taher A. Nofal
Publication date: 20 September 2024
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
nonlinear evolution equationanalytical and numerical solutionsHe's variational iteration methodfractional Chaffee-Infante modelimproved Kudryashov methodKhater III method
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Soliton solutions (35C08) Fractional partial differential equations (35R11) Pattern formations in context of PDEs (35B36)
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