Cole‐Hopf Transformations for Higher Dimensional Burgers Equations With Variable Coefficients
作者： B. Mayil Vaganan
DOI: 10.1111/J.1467-9590.2012.00551.X
关键词: Variable (mathematics) 、 Mathematics 、 Special case 、 Burgers' equation 、 Zero (complex analysis) 、 Mathematical analysis 、 Transformation (function) 、 Function (mathematics)
摘要: Cole-Hopf transformations for two and three dimensional Burgers equations with variable coefficients are reported. Like in the derivation of transformation, while changing equation to its potential form, if we set function integration equal zero, then only a specific form transformation (CHT-1) is obtained. If dispense this procedure take into consideration more general it includes CHT-1 as special case. systems which consists two-dimensional or version also derived. Further, CHT three-dimensional stated without proof.
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