𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Non-linear Liouville and Shrödinger equations in phase space

✍ Scribed by M.C.B. Fernandes; F.C. Khanna; M.G.R. Martins; A.E. Santana; J.D.M. Vianna


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
343 KB
Volume
389
Category
Article
ISSN
0378-4371

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Exact solutions of space–time dependent
✍ Hang-yu Ruan; Hui-jun Li; Yi-xin Chen 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 219 KB 👁 1 views

## Abstract Using a general symmetry approach we establish transformations between different non‐linear space–time dependent evolution equations of Schrödinger type and their respective solutions. As a special case we study the transformation of the standard non‐linear Schrödinger equation (NLS)‐eq

Inverse scattering for the non-linear Sc
✍ Ricardo Weder 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 106 KB

## Abstract In this paper we consider the inverse scattering problem for the non‐linear Schrödinger equation on the line \def\dr{{\rm d}}$$i{\partial\over\partial t}u(t,x)=‐{\dr^2\over\dr x^2}u(t,x)+V\_0(x)u(t,x)+\sum\_{j=1}^{\infty}V\_j(x)|u|^{2(j\_0+j)}u(t,x)$$\nopagenumbers\end We prove, unde

Solvability of the Cauchy problem of non
✍ Cuihua Guo; Shangbin Cui 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 274 KB

We study the existence of solutions for the Cauchy problem of the non-isotropically perturbed nonlinear Schrödinger equation where a, b are not simultaneously vanishing real constants, α is a positive constant, and x = (x 1 , x 2 ) ∈ R 2 . By using Kato's method, we establish some local existence r