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Lie symmetry analysis and explicit formulas for solutions of some third-order difference equations |
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| Abstract: | AbstractLie group theory is applied to rational difference equations of the form![/></span></p>where (<i>a<sub>n</sub></i>)<i>n</i>∈?<sub>0</sub>, (<i>b<sub>n</sub></i>)<i>n</i>∈?<sub>0</sub> are non-zero real sequences. Consequently, new symmetries are derived and exact solutions, in unified manner, are constructed. Based on some constraints in the expression of the symmetry generators, we split these solutions into different categories. This work generalises a recent result by Ibrahim 9].</td>
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<td align=](/na101/home/literatum/publisher/tandf/journals/content/tqma20/2019/tqma20.v042.i07/16073606.2018.1499563/20190912/images/medium/tqma_a_1499563_ilg0001.gif){kind=small} | |
| Keywords: | 39A10 39A99 39A13 | |
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