Generalized Burgers equations and Euler–Painlevé transcendents. II
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Publication:3793117
DOI10.1063/1.527520zbMath0648.35077OpenAlexW4235459314MaRDI QIDQ3793117
Publication date: 1987
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.527520
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items (14)
Exact and explicit solutions of Euler-Painlevé equations through generalized Cole-Hopf transformations ⋮ Small-time global null controllability of generalized Burgers’ equations ⋮ 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 ⋮ On the generalized Burgers equation ⋮ Exact N‐Wave Solutions of Generalized Burgers Equations ⋮ Generalized Burgers equations and Euler–Painlevé transcendents. III ⋮ Painlevé analysis and similarity solutions of Burgers' equation with variable coefficients ⋮ A quarter-plane problem for the modified Burgers’ equation ⋮ Similarity solutions of the Burgers equation with linear damping. ⋮ Large-time behaviour of solutions of the inviscid non-planar Burgers equation ⋮ Kummer function solutions of damped Burgers equations with time-dependent viscosity by exact linearization ⋮ Large Time Asymptotic Behaviors for Periodic Solutions of Generalized Burgers Equations With Spherical Symmetry or Linear Damping ⋮ Analysis of the self-similar solutions of the nonplanar Burgers equation
Cites Work
- Two generalisations of Burgers' equation
- Generalized Burgers equations and Euler–Painlevé transcendents. I
- Evolution and decay of spherical and cylindrical N waves
- A table of solutions of the one-dimensional Burgers equation
- On Burgers' model equations for turbulence
- On Predictor-Corrector Methods for Nonlinear Parabolic Differential Equations
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