Khan, Hassan; Khan, Adnan; Shah, Rasool; Baleanu, Dumitru A novel fractional case study of nonlinear dynamics via analytical approach. (English) Zbl 07884882 Appl. Math., Ser. B (Engl. Ed.) 39, No. 2, 276-290 (2024). MSC: 35G25 35G60 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Bektaş, Umut; Anaç, Halil A hybrid method to solve a fractional-order Newell-Whitehead-Segel equation. (English) Zbl 1543.35263 Bound. Value Probl. 2024, Paper No. 38, 13 p. (2024). MSC: 35R11 35A22 × Cite Format Result Cite Review PDF Full Text: DOI
Kanchana, C.; Laroze, D.; Siddheshwar, P. G. Study of primary and secondary instabilities arising due to a chemical reaction in a two-component Rayleigh-Bénard system. (English) Zbl 1505.76049 Appl. Math. Modelling 111, 534-553 (2022). MSC: 76F35 × Cite Format Result Cite Review PDF Full Text: DOI
Süngü, İnci Çilingir; Aydin, Emre On the convergence and stability analysis of finite-difference methods for the fractional Newell-Whitehead-Segel equations. (English) Zbl 1497.65134 Turk. J. Math. 46, No. 7, 2806-2818 (2022). MSC: 65M06 35R11 35K57 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Khalouta, Ali The existence and uniqueness of solution for fractional Newel-Whitehead-Segel equation within Caputo-Fabrizio fractional operator. (English) Zbl 1498.34032 Appl. Appl. Math. 16, No. 2, 894-909 (2021). MSC: 34A08 26A33 × Cite Format Result Cite Review PDF Full Text: Link
Sagar, B.; Ray, S. Saha Numerical soliton solutions of fractional Newell-Whitehead-Segel equation in binary fluid mixtures. (English) Zbl 1476.35099 Comput. Appl. Math. 40, No. 8, Paper No. 290, 18 p. (2021). MSC: 35G31 35R11 65D12 × Cite Format Result Cite Review PDF Full Text: DOI
Demina, Maria V. Liouvillian integrability of the generalized Duffing oscillators. (English) Zbl 1462.34007 Anal. Math. Phys. 11, No. 1, Paper No. 25, 18 p. (2021). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 34A05 34A34 34C05 34C15 35C07 × Cite Format Result Cite Review PDF Full Text: DOI
Ayata, Muammer; Özkan, Ozan A new application of conformable Laplace decomposition method for fractional Newell-Whitehead-Segel equation. (English) Zbl 1484.35373 AIMS Math. 5, No. 6, 7402-7412 (2020). MSC: 35R11 26A24 × Cite Format Result Cite Review PDF Full Text: DOI
Jneid, M.; Chaouk, A. The conformable reduced differential transform method for solving Newell-Whitehead-Segel equation with non-integer order. (English) Zbl 1469.35223 J. Anal. Appl. 18, No. 1, 35-51 (2020). MSC: 35R11 35A22 35C05 × Cite Format Result Cite Review PDF
C, Kanchana; Siddheshwar, P. G.; Zhao, Yi Primary and secondary instabilities in Rayleigh-Bénard convection of water-copper nanoliquid. (English) Zbl 1456.76047 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105392, 17 p. (2020). MSC: 76E06 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Inan, Bilge; Osman, Mohamed S.; Ak, Turgut; Baleanu, Dumitru Analytical and numerical solutions of mathematical biology models: the Newell-Whitehead-Segel and Allen-Cahn equations. (English) Zbl 1454.35397 Math. Methods Appl. Sci. 43, No. 5, 2588-2600 (2020). MSC: 35Q92 35Q53 35C08 65M06 65M12 65M15 92-08 × Cite Format Result Cite Review PDF Full Text: DOI
Hilal, Nayrouz; Injrou, Sami; Karroum, Ramez Exponential finite difference methods for solving Newell-Whitehead-Segel equation. (English) Zbl 1442.65160 Arab. J. Math. 9, No. 2, 367-379 (2020). MSC: 65M06 65H10 65M12 65M15 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Booth, Derek; Burkart, Jack; Cao, Xiaodong; Hallgren, Max; Munro, Zachary; Snyder, Jason; Stone, Tom A differential Harnack inequality for the Newell-Whitehead-Segel equation. (English) Zbl 1438.35019 Anal. Theory Appl. 35, No. 2, 192-204 (2019). MSC: 35B09 35C07 35K10 35K55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saberi, Elaheh; Hejazi, S. Reza; Motamednezhad, Ahmad Lie symmetry analysis, conservation laws and similarity reductions of Newell-Whitehead-Segel equation of fractional order. (English) Zbl 1471.35308 J. Geom. Phys. 135, 116-128 (2019). MSC: 35R11 35B06 53B30 × Cite Format Result Cite Review PDF Full Text: DOI
Prakash, Amit; Kumar, Manoj He’s variational iteration method for the solution of nonlinear Newell-Whitehead-Segel equation. (English) Zbl 1463.35305 J. Appl. Anal. Comput. 6, No. 3, 738-748 (2016). MSC: 35K55 35Q35 65M99 × Cite Format Result Cite Review PDF Full Text: DOI
Akçağıl, Şamil; Aydemir, Tuğba New exact solutions for the Khokhlov-Zabolotskaya-Kuznetsov, the Newell-Whitehead-Segel and the Rabinovich wave equations by using a new modification of the tanh-coth method. (English) Zbl 1438.35343 Cogent Math. 3, Article ID 1193104, 12 p. (2016). MSC: 35Q53 35C05 35C07 × Cite Format Result Cite Review PDF Full Text: DOI
Antony Vijesh, V.; Harish Kumar, K. Wavelet based quasilinearization method for semi-linear parabolic initial boundary value problems. (English) Zbl 1410.65515 Appl. Math. Comput. 266, 1163-1176 (2015); erratum ibid 314, 484 (2017). MSC: 65T60 65M70 42C40 35K20 35K91 × Cite Format Result Cite Review PDF Full Text: DOI
Baishya, Chandrali Solution of Newell-Whitehead-Segel equation with power law nonlinearity and time dependent coefficients. (English) Zbl 1359.35089 Int. J. Adv. Appl. Math. Mech. 3, No. 2, 59-64 (2015). MSC: 35K10 35K55 35C05 × Cite Format Result Cite Review PDF Full Text: Link
Jassim, Hassan Kamil Homotopy perturbation algorithm using Laplace transform for Newell-Whitehead-Segel equation. (English) Zbl 1359.65226 Int. J. Adv. Appl. Math. Mech. 2, No. 4, 8-12 (2015). MSC: 65M99 35K91 44A10 × Cite Format Result Cite Review PDF Full Text: Link
Saravanan, A.; Magesh, N. A comparison between the reduced differential transform method and the Adomian decomposition method for the Newell-Whitehead-Segel equation. (English) Zbl 1281.65134 J. Egypt. Math. Soc. 21, No. 3, 259-265 (2013). MSC: 65M99 35K55 × Cite Format Result Cite Review PDF Full Text: DOI
Macías-Díaz, J. E.; Ruiz-Ramírez, J. A non-standard symmetry-preserving method to compute bounded solutions of a generalized Newell-Whitehead-Segel equation. (English) Zbl 1366.65079 Appl. Numer. Math. 61, No. 4, 630-640 (2011). MSC: 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Pismen, L. M. Vortices in nonlinear fields. From liquid crystals to superfluids, from non-equilibrium patterns to cosmic strings. (English) Zbl 0987.76001 International Series of Monographs on Physics. 100. Oxford: Clarendon Press. xv, 290 p. (1999). Reviewer: G.A.Maugin (Paris) MSC: 76-02 76B47 83C99 76A15 76A25 74A60 × Cite Format Result Cite Review PDF
Lega, J.; Moloney, J. V.; Newell, A. C. Universal description of laser dynamics near threshold. (English) Zbl 0884.35009 Physica D 83, No. 4, 478-498 (1995). MSC: 35B32 78A60 × Cite Format Result Cite Review PDF Full Text: DOI
Getling, A. V. Convection-front propagation and wavenumber selection. (English) Zbl 0741.76074 Physica D 55, No. 1-2, 121-134 (1992). MSC: 76R10 × Cite Format Result Cite Review PDF Full Text: DOI