𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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.


πŸ“œ SIMILAR VOLUMES


On the integrability of a new Davey–Stew
✍ Attilio Maccari πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 65 KB

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

On the bi-Hamiltonian structure, dressin
✍ I. Mukhopadhaya; A. Roy Chowdhury πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 550 KB

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

On the Dirac Equation in 3 + 1 Dimension
✍ G.N. Ord; D.G.C. Mckeon πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 332 KB

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

The structure of nonlinear elliptic equa
✍ Yan-Xia Ren πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 825 KB

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]

Some new exact solutions of the integrab
✍ De-Sheng Li; Hong-Qing Zhang πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 74 KB

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.