Pole dynamics and oscillations for the complex Burgers equation in the small-dispersion limit

DOI10.1088/0951-7715/9/6/016zbMath0906.35093OpenAlexW2058707551MaRDI QIDQ3841261

Nicholas M. Ercolani, David Senouf, Russel E. Caflisch

Publication date: 16 February 1999

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/9/6/016

zbMATH Keywords

inviscid Burgers equationCole-Hopf transformpole expansionBurgers equation with complex viscosityinfinite-dimensional Calogero-type dynamical systemlimit of the pole expansion

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Analyticity in context of PDEs (35A20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

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