The generalized Cole-Hopf transformation to a general variable coefficient Burgers equation with linear damping term

DOI10.1016/J.AML.2020.106299zbMath1439.35434OpenAlexW3008849469MaRDI QIDQ1985391

Jin-Liang Zhang, Xiaofei Xin, Erqiang Li, Ming-Liang Wang

Publication date: 7 April 2020

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

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106299

zbMATH Keywords

exact solution\((2+1)\)-dimensional damping Burgers equationgeneralized Cole-Hopf transformationgVC Burgers equation with linear damping termSHB method

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)

Related Items (3)

Soliton-like solutions of general variable coefficient (2+1)-dimensional KdV equation with linear damping term ⋮ On the formulaic solution of a \((n+1)\)th order differential equation ⋮ The generalized Cole-Hopf transformation for a generalized Burgers-Fisher equation with spatiotemporal variable coefficients

Cites Work

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• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics

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