On the general structure of the integrable equations in 1+1, 2+1 dimensions
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 74 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0167-2789
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We use an asymptotically exact reduction method based on Fourier expansion and spatio-temporal rescaling and obtain a Ε½ . new integrable Davey-Stewartson type partial differential equation PDE in 2 q 1 dimensions starting from a previously known integrable equation. In order to demonstrate the integ
Absfrad-We have shown that nonlinear equations in (2+ 1) dimensions which are completely integrable can be analysed on the basis of an operator which is the analogue of the pseudo-differential operator for the discrete case. The bi-Hamiltonian structures of such equations are derived and an analogue
The derivation of the kernel for the Feynman chessboard model in \(1+1\) dimensions is sketched in such a way that a formal extension to \(3+1\) dimensions is readily obtained. This extension is then examined so as to clarify the nature of the paths in three-dimensional space. We also consider how s
that D is an unbounded domain in R2 with a compact boundary aD and k(z) is a strictly positive Holder continuous function on D such that .I (log (11~11))" k(r) dr < 00, IIZll>Q for some constant a > 0. In this paper, we study the nonlinear elliptic equation (1/2)A~ = Ic(x)u"(z) on D, where o E (1,2]
In this paper, by using a improved extended tanh method and symbolic computation system, some new soliton-like, triangle function and rational solutions of the integrable Broer-Kaup (BK) equations in (2 ΓΎ 1)-dimensional spaces are obtained.