会议论文详细信息
21st International Conference on Integrable Systems and Quantum Symmetries | |
Infinite-dimensional symmetries of a general class of variable coefficient evolution equations in 2+1 dimensions | |
Basarab-Horwath, P.^1 ; Güngör, F.^2 ; Ozemir, C.^3 | |
Department of Mathematics, Linköping University, S-581 83 Linköping, Sweden^1 | |
Department of Mathematics, Faculty of Science and Sciences, Istanbul Technical University, 34469 Istanbul, Turkey^2 | |
Department of Mathematics, Faculty of Science and Letters, Istanbul Technical University, 34469 Istanbul, Turkey^3 | |
关键词: Burgers equations; Evolution equations; Exact solution; General class; Infinite dimensional; Lie symmetries; Painleve; Variable coefficients; | |
Others : https://iopscience.iop.org/article/10.1088/1742-6596/474/1/012010/pdf DOI : 10.1088/1742-6596/474/1/012010 |
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来源: IOP | |
【 摘 要 】
We consider generalized KP-Burgers equations and attempt to identify subclasses admitting Virasoro or Kac-Moody type algebras as their symmetries. We give reductions to ODEs constructed from invariance requirement under these infinite-dimensional Lie symmetry algebras and integrate them in cases where it is possible. We also look at the conditions under which the equation passes the Painleve´ test and construct some exact solutions by truncation.
【 预 览 】
Files | Size | Format | View |
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Infinite-dimensional symmetries of a general class of variable coefficient evolution equations in 2+1 dimensions | 532KB | download |