Generalized Burgers equations and Euler–Painlevé transcendents. III

DOI10.1063/1.528124zbMath0666.35075OpenAlexW4233830621MaRDI QIDQ3817067

V. G. Tikekar, K. R. C. Nair, P. L. Sachdev

Publication date: 1988

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528124

zbMATH Keywords

Burgers equationsEuler-Painlevé equationsKorteweg-de Vries type of equationsexact single hump solutionssingle parameter familyvariable coefficients of viscosity

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99) Bifurcations in context of PDEs (35B32)

Related Items (13)

Transformation properties of a variable-coefficient Burgers equation ⋮ Group classification and exact solutions of variable-coefficient generalized Burgers equations with linear damping ⋮ FracSym: automated symbolic computation of Lie symmetries of fractional differential equations ⋮ Exact and explicit solutions of Euler-Painlevé equations through generalized Cole-Hopf transformations ⋮ Self-similar solutions of a generalized Burgers equation with nonlinear damping. ⋮ Exact Linearization and Invariant Solutions of the Generalized Burgers Equation with Linear Damping and Variable Viscosity ⋮ Exact N‐Wave Solutions of Generalized Burgers Equations ⋮ Painlevé analysis and similarity solutions of Burgers' equation with variable coefficients ⋮ Non-Abelian pseudopotentials and nonlocal conservation laws for some heat conduction equations ⋮ Similarity solutions of the Burgers equation with linear damping. ⋮ Kummer function solutions of damped Burgers equations with time-dependent viscosity by exact linearization ⋮ Large-Time Asymptotics for Solutions of a Generalized Burgers Equation with Variable Viscosity ⋮ Analysis of the self-similar solutions of the nonplanar Burgers equation

Cites Work

• Generalized Burgers equations and Euler–Painlevé transcendents. I
• Generalized Burgers equations and Euler–Painlevé transcendents. II
• The long time asymptotics of solutions to the generalized Burgers equation
• Some exact solutions of Burgers-type equations
• A table of solutions of the one-dimensional Burgers equation
• Nonlinear effects in steady supersonic dissipative gasdynamics. Part 2. Three-dimensional axisymmetric flow

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