Complex Lie Symmetries for Variational Problems

DOI10.2991/jnmp.2008.15.s1.2zbMath1362.70024OpenAlexW2092578438MaRDI QIDQ5346958

F. M. Mahomed, Asghar Qadir, Sajid Ali

Publication date: 30 May 2017

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2008.15.s1.2

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Lagrange's equations (70H03)

Related Items

Complex Methods for Lie Symmetry Analysis ⋮ Self-consistent adjoint analysis for topology optimization of electromagnetic waves ⋮ Hypercomplex analysis and integration of systems of ordinary differential equations ⋮ A complex Noether approach for variational partial differential equations ⋮ Linearization: geometric, complex, and conditional ⋮ Two-dimensional systems that arise from the Noether classification of Lagrangians on the line ⋮ Invariants of two-dimensional systems via complex Lagrangians with applications ⋮ Noether-like operators and first integrals for generalized systems of Lane-Emden equations ⋮ Complex Lie symmetries for scalar second-order ordinary differential equations ⋮ A complex Lie-symmetry approach to calculate first integrals and their numerical preservation

Cites Work

• Variational principles for second-order quasi-linear scalar equations
• Lie-Bäcklund and Noether symmetries with applications
• Relationship between symmetries and conservation laws
• Unnamed Item