Burgers equation with time-dependent coefficients and nonlinear forcing term: linearization and exact solvability

DOI10.1016/j.cnsns.2014.08.029zbMath1329.35274OpenAlexW2058754781MaRDI QIDQ907671

Axel Schulze-Halberg

Publication date: 26 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.cnsns.2014.08.029

zbMATH Keywords

linearizationexceptional orthogonal polynomialsforced Burgers equationpoint transformation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05)

Related Items (4)

Dynamical properties of generalized traveling waves of exactly solvable forced Burgers equations with variable coefficients ⋮ Green's functions and the Cauchy problem of the Burgers hierarchy and forced Burgers equation ⋮ Dirichlet problem on the half-line for a forced Burgers equation with time-variable coefficients and exactly solvable models ⋮ Long time behavior for stochastic Burgers equations with jump noises

Cites Work

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• Exact solutions of forced Burgers equations with time variable coefficients
• Waves and structures in nonlinear nondispersive media. General theory and applications to nonlinear acoustics.
• New exact solutions of one-dimensional inhomogeneous Burgers equation.
• A note on the forced Burgers equation
• Lie symmetry analysis and exact explicit solutions for general Burgers' equation
• Burgers' equation and layered media: Exact solutions and applications to soil-water flow
• Burgers-KPZ turbulence. Göttingen lectures
• Distributions in the physical and engineering sciences. Volume 2: Linear and nonlinear dynamics in continuous media
• Stability and Bäcklund transform of the forced Burgers equation
• On form-preserving transformations for the time-dependent Schrödinger equation
• The Time Periodic Solution of the Burgers Equation on the Half-Line and an Application to Steady Streaming
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics

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