Cole‐Hopf Transformations for Higher Dimensional Burgers Equations With Variable Coefficients

DOI10.1111/j.1467-9590.2012.00551.xzbMath1280.35116OpenAlexW1554280914MaRDI QIDQ4906048

B. Mayil Vaganan

Publication date: 21 February 2013

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9590.2012.00551.x

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (5)

2N Parameter Solutions to the Burgers' Equation ⋮ Multi-soliton, rogue wave and periodic wave solutions of generalized \((2+1)\) dimensional Boussinesq equation ⋮ A new exact solution of Burgers' equation with linearized solution ⋮ The Riemann problem for a generalized Burgers equation with spatially decaying sound speed. I Large‐time asymptotics ⋮ The generalized Cole-Hopf transformation for a generalized Burgers-Fisher equation with spatiotemporal variable coefficients

Cites Work

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• On Mapping Linear Partial Differential Equations to Constant Coefficient Equations
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• When Nonlinear Differential Equations are Equivalent to Linear Differential Equations
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics

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