Details

Autor(en) / Beteiligte

• Maltseva, Diana S.
• Popovych, Roman O.

Titel

Point-symmetry pseudogroup, Lie reductions and exact solutions of Boiti–Leon–Pempinelli system

Ist Teil von

• Physica. D, 2024-04, Vol.460, p.134081, Article 134081

Ort / Verlag

Elsevier B.V

Erscheinungsjahr

2024

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We carry out extended symmetry analysis of the (1+2)-dimensional Boiti–Leon–Pempinelli system, which corrects, enhances and generalizes many results existing in the literature. The point-symmetry pseudogroup of this system is computed using an original megaideal-based version of the algebraic method. A number of meticulously selected differential constraints allow us to construct families of exact solutions of this system, which are significantly larger than all known ones. After classifying one- and two-dimensional subalgebras of the entire (infinite-dimensional) maximal Lie invariance algebra of this system, we study only its essential Lie reductions, which give solutions beyond the above solution families. Among reductions of the Boiti–Leon–Pempinelli system using differential constraints or Lie symmetries, we identify a number of famous partial and ordinary differential equations. We also show how all the constructed solution families can significantly be extended by Laplace and Darboux transformations.