Symbolic computation on generalized Hopf-Cole transformation for a forced Burgers model with variable coefficients from fluid dynamics

DOI10.1016/j.wavemoti.2006.10.004zbMath1231.76224OpenAlexW2044125795MaRDI QIDQ661518

Chun-Yi Zhang, Tao Xu, Xiang-Hua Meng, Bo Tian, Hong-Wu Zhu, Juan Li

Publication date: 11 February 2012

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2006.10.004

zbMATH Keywords

symbolic computation\(N\)-shock-wave-like solutioncoalescence structuresCole transformationgeneralized Hopfinhomogeneous and forcing effects

Mathematics Subject Classification ID

Related Items (20)

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Cites Work

• Symbolic computation on cylindrical-modified dust-ion-acoustic nebulons in dusty plasmas
• On Bäcklund transformation for a generalized Burgers equation and solitonic solutions
• The Burgers equation under deterministic and stochastic forcing
• Similarity Solutions of a Generalized Burgers Equation
• A class of Bäcklund transformations for equations of the type u x y=f(u,u x)
• Coalescence of electromagnetic travelling waves in a saturated ferrite
• Allowed transformations and symmetry classes of variable coefficient Burgers equations
• The partial differential equation u_t + uu_x = μ_xx
• Stationary solutions for a boundary controlled Burgers' equation

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