Exact solutions of Newell-Whitehead-Segel equations using symmetry transformations

DOI10.1155/2021/6658081zbMath1458.35100OpenAlexW3128450063MaRDI QIDQ2228060

Khudija Bibi, Khalil Ahmad

Publication date: 16 February 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/6658081

zbMATH Keywords

group invariant solutionssymmetry transformation groups

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Solutions to PDEs in closed form (35C05) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (4)

New exact solutions of Burgers' equation using power index method ⋮ New function solutions of Ablowitz-Kaup-Newell-Segur water wave equation via power index method ⋮ New exact solutions of Landau-Ginzburg-Higgs equation using power index method ⋮ Exact solutions of the two-dimensional Cattaneo model using Lie symmetry transformations

Cites Work

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• A comparison between the reduced differential transform method and the Adomian decomposition method for the Newell-Whitehead-Segel equation
• A non-standard symmetry-preserving method to compute bounded solutions of a generalized Newell-Whitehead-Segel equation
• Discrete symmetries analysis and exact solutions of the inviscid Burgers equation
• Lie symmetry analysis and exact explicit solutions for general Burgers' equation
• Singularities and groups in bifurcation theory. Volume II
• Lie symmetry analysis and exact solutions of generalized fractional Zakharov-Kuznetsov equations
• Methods for constructing exact solutions of partial differential equations. Mathematical and analytical techniques with applications to engineering
• How to construct the discrete symmetries of partial differential equations
• Symmetries and differential equations

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