Green's functions and the Cauchy problem of the Burgers hierarchy and forced Burgers equation

DOI10.1016/j.cnsns.2019.01.030zbMath1464.35306arXiv2104.12976OpenAlexW2917614183MaRDI QIDQ2207420

Keeley Hoek, Mathew L. Zuparic

Publication date: 22 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.12976

zbMATH Keywords

Fokker-Planck equationsgeneralized hypergeometric functionBurgers hierarchyforced Burgershigher order heat type equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Fundamental solutions to PDEs (35A08) Fokker-Planck equations (35Q84)

Related Items (4)

Generalized Hermite polynomials for the Burgers hierarchy and point vortices ⋮ Dynamical properties of generalized traveling waves of exactly solvable forced Burgers equations with variable coefficients ⋮ Dirichlet problem on the half-line for a forced Burgers equation with time-variable coefficients and exactly solvable models ⋮ Theory and application for the system of fractional Burger equations with Mittag Leffler kernel

Uses Software

• DLMF

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