Zhang, Xiao; Nofal, Taher A.; Vokhmintsev, Aleksander; Khater, Mostafa M. A. Exploring solitary waves and nonlinear dynamics in the fractional Chaffee-Infante equation: a study beyond conventional diffusion models. (English) Zbl 07916590 Qual. Theory Dyn. Syst. 23, Suppl. Issue 1, Paper No. 270, 29 p. (2024). MSC: 35Q35 35Q53 35Q55 35Q51 76B25 78A60 35C08 35B36 35R11 65M99 × Cite Format Result Cite Review PDF Full Text: DOI
Şengül, Taylan; Tiryakioglu, Burhan Interactions of \((m,n)\) and \((m+1,n)\) modes with real eigenvalues: a dynamic transition approach. (English) Zbl 1527.35053 Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107526, 27 p. (2023). MSC: 35B36 37L10 47J35 × Cite Format Result Cite Review PDF Full Text: DOI
Şengül, Taylan; Tiryakioglu, Burhan Dynamic transitions and bifurcations of 1D reaction-diffusion equations: the non-self-adjoint case. (English) Zbl 1511.35023 J. Math. Anal. Appl. 523, No. 1, Article ID 127114, 17 p. (2023). MSC: 35B32 35K20 35K57 37L10 × Cite Format Result Cite Review PDF Full Text: DOI