𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Similarity solutions of nonlinear partial differential equations invariant to a family of affine groups

✍ Scribed by Lawrence Dresner


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
439 KB
Volume
11
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Invariant Modules and the Reduction of N
✍ Niky Kamran; Robert Milson; Peter J. Olver πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 228 KB

We completely characterize all nonlinear partial differential equations leaving a given finite-dimensional vector space of analytic functions invariant. Existence of an invariant subspace leads to a reduction of the associated dynamical partial differential equations to a system of ordinary differen

More solutions of the auxiliary equation
✍ Yang Feng; Dan Wang; Wen-ting Li; Hong-qing Zhang πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 205 KB

## a b s t r a c t In this paper, a new auxiliary function method is presented for constructing exact travelling wave solutions of nonlinear evolution equations. By the relationships of Jacobi elliptic functions, we get more solutions of the auxiliary equation compared with El-Wakila and Abdou ( 20