Volume 3, Issue 3-4, September 1996, Pages 453 - 457
Application of Differential Forms to Construction of Nonlocal Symmetries
Available Online 2 September 1996.
- https://doi.org/10.2991/jnmp.1996.3.3-4.31How to use a DOI?
- Differential forms are used for construction of nonlocal symmetries of partial differential equations with conservation laws. Every conservation law allows to introduce a nonlocal variable corresponding to a conserved quantity. A prolongation technique is suggested for action of symmetry operators on these nonlocal variables. It is shown how to introduce these variables for the symmetry group to remain the same. A new hidden symmetry and corresponding group-invariant solution are found for gas dynamic equations.
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TY - JOUR AU - S.I. AGAFONOV PY - 1996 DA - 1996/09 TI - Application of Differential Forms to Construction of Nonlocal Symmetries JO - Journal of Nonlinear Mathematical Physics SP - 453 EP - 457 VL - 3 IS - 3-4 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.1996.3.3-4.31 DO - https://doi.org/10.2991/jnmp.1996.3.3-4.31 ID - AGAFONOV1996 ER -