𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Symmetry analysis of nonlinear differential equations with the “Mathematica” program SYMMAN

✍ Scribed by E.M. Vorob'ev

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
1003 KB
Volume
25
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

✦ Synopsis

The symmetry analysis is discussed for some nonlinear partial differential equations with important applications. It is demonstrated that significant progress both in theory and in the construction of explicit solutions is achieved with the aid of the computer algebra system "Mathematica." Keywords-Differential equations, "Mathematics," Conditional symmetries.

P. Olver for his fascinating demonstration of the power of "Mathematics" in nonclassical symmetry computation to the author, for his collaboration and valuable comments concerning SYMMAN.

📜 SIMILAR VOLUMES

A reduce program for finding symmetries
A reduce program for finding symmetries of nonlinear evolution equations with uniform rank
✍ Masaaki Ito 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 283 KB

Ireland (see application form in this issue) Nature of physicalproblem Find the symmetries of the given evolution equation: This is Computer: HITAC M-200H important because it enables us to know the qualitative nature of the equation and leads to physical insight. Operating system: VOS 3 Restriction

Heuristic analysis of the complete symme
Heuristic analysis of the complete symmetry group and nonlocal symmetries for some nonlinear evolution equations
✍ S. M. Myeni; P. G. L. Leach 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 127 KB

## Abstract The complete symmetry group of a 1 + 1 evolution equation has been demonstrated to be represented by the six‐dimensional Lie algebra of point symmetries __sl__(2, __R__) ⊕~__s__~__W__, where __W__ is the three‐dimensional Heisenberg–Weyl algebra. We construct a complete symmetry group o