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Comparison of $(G'/G)$-methods for finding exact solutions of the Drinfeld-Sokolov system

In: Mathematica Slovaca, vol. 65, no. 3
Durmus Daghan - Ozlem Yildiz - Serkan Toros
Detaily:
Rok, strany: 2015, 607 - 632
Kľúčové slová:
explicit solution, numerical solution, $(\frac{G'}{G})$-expansion method
O článku:
Nonlinear Drinfeld-Sokolov system is studied analytically by using four different methods ($(((G') / (G)))$-expansion, direct algebraic, different form of the $(((G') / (G)))$-expansion methods, and direct integration) and the results are found numerically. New exact and numeric solutions are given and the comparison of the results obtained from these different methods, methods themselves and numerical results are discussed in detail. It is found that the $\bbb(((G') / (G))\bb)$-expansion and different form of the $\bbb(((G') / (G))\bb)$-expansion methods are really coincide and effective methods in the view of finding different solutions that cannot be obtained by using the direct integration for Drinfel-Sokolov system.
Ako citovať:
ISO 690:
Daghan, D., Yildiz, O., Toros, S. 2015. Comparison of $(G'/G)$-methods for finding exact solutions of the Drinfeld-Sokolov system. In Mathematica Slovaca, vol. 65, no.3, pp. 607-632. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0043

APA:
Daghan, D., Yildiz, O., Toros, S. (2015). Comparison of $(G'/G)$-methods for finding exact solutions of the Drinfeld-Sokolov system. Mathematica Slovaca, 65(3), 607-632. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0043
O vydaní: