Complex blow-up in Burgers' equation: an iterative approach

DOI10.1017/S0004972700021754zbMath0877.35112arXivsolv-int/9610013OpenAlexW2017287871MaRDI QIDQ4346914

Nalini Joshi, Johannes Asmus Petersen

Publication date: 8 December 1997

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9610013

zbMATH Keywords

Burgers' equationPainlevé testmeromorphic solutionLaurent series expansion

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Cauchy-Kovalevskaya theorems (35A10)

Cites Work

• The Painlevé property for partial differential equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Blow-up Surfaces for Nonlinear Wave Equations, I
• A Direct Proof that Solutions of the Six Painlevé Equations Have No Movable Singularities Except Poles
• A method of proving the convergence of the Painleve expansions of partial differential equations
• The partial differential equation u_t + uu_x = μ_xx
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