Exact solutions of the generalized K(m, m) equations
β Scribed by Nikolay A. Kudryashov; Svetlana G. Prilipko
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 331 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1007-5704
No coin nor oath required. For personal study only.
β¦ Synopsis
Family of equations, which is the generalization of the K(m, m) equation, is considered. Periodic wave solutions for the family of nonlinear equations are constructed.
π SIMILAR VOLUMES
In this paper we present a complete classification, up to isomorphism, of affine and projective fully commutative m + k m -groups, defined on subsets of the set of complex numbers C. The classification is via characteristic vectors and their associated complex curves (real surfaces).
A k-graph is called a (k, m)-tree if it can be obtained from a single edge by consecutively adding edges so that every new edge contains k&m new vertices while its remaining m vertices are covered by an already existing edge. We prove that there are (e(k&m)+m)!(e( k m )&e+1) e&2 e!m!((k&m)!) e disti
method a b s t r a c t We demonstrate that four solutions from 13 of the (3 + 1)-dimensional Kadomtsev-Petviashvili equation obtained by Khalfallah [1] are wrong and do not satisfy the equation. The other nine exact solutions are the same and all ''new" solutions by Khalfallah can be found from the