Group analysis of a class of nonlinear Kolmogorov equations
Date
2016ISBN
978-981-10-2635-5Publisher
Springer New York LLCSource
Springer Proceedings in Mathematics and StatisticsProceedings of the 11th International Workshop on Lie Theory and Its Applications in Physics, 2015
Volume
191Pages
349-360Google Scholar check
Keyword(s):
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A class of (1+2)-dimensional diffusion-convection equations (nonlinear Kolmogorov equations) with time-dependent coefficients is studied with Lie symmetry point of view. The complete group classification is achieved using a gauging of arbitrary elements (i.e., via reducing the number of variable coefficients) with the application of equivalence transformations. Two possible gaugings are discussed in order to show how equivalence group can serve in making the optimal choice. © Springer Nature Singapore Pte Ltd. 2016.