In this work, two space-time fractional nonlinear systems named Drinfeld–Sokolov–Satsuma–Hirota system and Broer Kaup system are considered with fractional derivatives in Riemann–Liouville type. The symmetry approach and power series expansion technique are applied to derive the explicit solutions of both the systems. In addition, the nontrivial conserved vectors are reported using the nonlinear self-adjointness method and Noether operators.

中文翻译：

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一些时空分数非线性系统的对称性、显式解和守恒定律

在这项工作中，两个名为 Drinfeld-Sokolov-Satsuma-Hirota 系统和 Broer Kaup 系统的时空分数非线性系统被认为具有 Riemann-Liouville 型分数阶导数。对称方法和幂级数展开技术用于推导出两个系统的显式解。此外，使用非线性自邻接方法和 Noether 算子报告了非平凡的守恒向量。