Traveling wave solutions of Burgers' equation with time delay

DOI10.1016/j.aml.2020.106496zbMath1441.35091OpenAlexW3026707386MaRDI QIDQ2186780

Ronald E. Mickens, Clement McCalla, Isom H. Herron

Publication date: 9 June 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106496

zbMATH Keywords

monotone traveling waves

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Initial value problems for second-order parabolic equations (35K15) Traveling wave solutions (35C07) Semilinear parabolic equations (35K58)

Related Items (4)

Existence theorem for global in time solutions to Burgers equation with a time delay ⋮ Generalized exponential rational function for distinct types solutions to the conformable resonant Schrödinger’s equation ⋮ Analytical solitons for the space-time conformable differential equations using two efficient techniques ⋮ On the formulaic solution of a \((n+1)\)th order differential equation

Uses Software

• DLMF

Cites Work

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• Differential-difference equations
• Asymptotic behavior of solutions of time-delayed Burgers' equation
• On the Lambert \(w\) function
• A note on the delayed heat equation: instability with respect to initial data
• Traveling wave solutions to modified Burgers and diffusionless Fisher PDE's

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