Hootaotao said:Can anybody help me find a paper?
The name is "The discrete self-trapping equation", or "J.C. Eilbeck, P.S. Lomdahl, A.C. Scott, Physica D 16 (1985) 318."
Thank you very much !
The library of my university only provides a paper after 1995, so...olgranpappy said:try the library.
Hootaotao said:The library of my university only provides a paper after 1995, so...
thank you all the same
I see. So You can read only tales about subject...olgranpappy said:My library only has electronic access after 1995 as well.
The discrete self-trapping equation is a mathematical model that describes the behavior of particles in a nonlinear lattice system. It is used to study the phenomenon of self-trapping, where particles can become localized and trapped in a specific region of the lattice due to nonlinear interactions.
The discrete self-trapping equation is a discrete version of the nonlinear Schrödinger equation, while other equations such as the Gross-Pitaevskii equation are continuous. This means that the discrete self-trapping equation takes into account the discrete nature of the lattice system, while other equations assume a continuous system.
The discrete self-trapping equation has been used in various fields such as condensed matter physics, quantum optics, and nonlinear optics. It has also been applied to study phenomena such as Bose-Einstein condensates, solitons, and optical vortices.
The discrete self-trapping equation is a nonlinear equation and does not have an analytical solution. Therefore, it is typically solved using numerical methods such as the split-step Fourier method or the Runge-Kutta method.
One limitation of the discrete self-trapping equation is that it is a simplified model and does not take into account certain factors such as dissipation and external forces. It also assumes a perfectly symmetric lattice, which may not be the case in real systems. Additionally, the equation may not accurately describe the behavior of particles in highly nonlinear systems.