Exact and explicit solutions of Euler-Painlevé equations through generalized Cole-Hopf transformations

DOI10.1016/j.amc.2010.09.007zbMath1248.34136OpenAlexW2088032142MaRDI QIDQ613282

B. Mayil Vaganan, D. Pandiaraja, M. Senthil Kumaran

Publication date: 20 December 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.09.007

zbMATH Keywords

asymptotic behaviouranalytic solutionsexact linearizationKummer functionsEuler-Painlevé equations

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (1)

Theory of light-matter interaction in nematic liquid crystals and the second Painlevé equation

Cites Work

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• Kummer function solutions of damped Burgers equations with time-dependent viscosity by exact linearization
• Generalized Burgers equations and Euler–Painlevé transcendents. I
• Generalized Burgers equations and Euler–Painlevé transcendents. II
• Generalized Burgers equations and Euler–Painlevé transcendents. III
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics

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