Asymptotic solutions of Burgers equation and modified Burgers equation satisfying flux type conditions

DOI10.1007/S40819-022-01413-2zbMath1496.35141OpenAlexW4288902410MaRDI QIDQ2170948

Yanyan Li

Publication date: 8 September 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-022-01413-2

zbMATH Keywords

asymptotic solutionsexact solutionBurgers equationCole-Hopf transformationtravelling wave solutionmodified Burgers equationlarge time asymptotic expansions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Asymptotic expansions of solutions to PDEs (35C20) Solutions to PDEs in closed form (35C05) Semilinear parabolic equations (35K58)

Cites Work

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• Complex Analysis with Applications
• The Burgers equation on the semiline with general boundary conditions at the origin
• Handbook of Linear Partial Differential Equations for Engineers and Scientists
• A Compendium of Partial Differential Equation Models
• Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations
• Flux infiltration into soils: analytic solutions

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