Similarity solutions of nonlinear partial differential equations invariant to a family of affine groups
β Scribed by Lawrence Dresner
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 439 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0895-7177
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π SIMILAR VOLUMES
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
## 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