Embedding algorithms and applications to differential equations

作者：Ali Sajid^*; Azad Hassan; Biswas Indranil; Ghanam Ryad; Mustafa M T

来源：Journal of Symbolic Computation, 2018, 86: 166-188.

DOI：10.1016/j.jsc.2017.05.002

• Maximal solvable subalgebras
• Algebraic Lie algebras
• Invariant solutions

Algorithms for embedding certain types of nilpotent subalgebras in maximal subalgebras of the same type are developed, using methods of real algebraic groups. These algorithms are applied to determine non-conjugate subalgebras of the symmetry algebra of the wave equation, which in turn are used to determine a large class of invariant solutions of the wave equation. The algorithms are also illustrated for the symmetry algebra of a classical system of differential equations considered by Cartan in the context of contact geometry.

• 出版日期2018-6