𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Exact and explicit solutions of higher-order nonlinear equations of Schrödinger type

✍ Scribed by M.M. Hassan; A.H. Khater


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
227 KB
Volume
387
Category
Article
ISSN
0378-4371

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Schrödinger equations of higher order
✍ Alessia Ascanelli; Massimo Cicognani 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 138 KB

## Abstract We are interested in finding the sharp regularity with respect to the time variable of the coefficients of a Schrödinger type operator in order to have a well‐posed Cauchy Problem in __H__^∞^. We consider both the cases of the first derivative that breaks down at a point __t__~0~ and of

New types of exact solutions for nonline
✍ Abdelhalim Ebaid; S.M. Khaled 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 312 KB

method a b s t r a c t Although, many exact solutions were obtained for the cubic Schrödinger equation by many researchers, we obtained in this research not only more exact solutions but also new types of exact solutions in terms of Jacobi-elliptic functions and Weierstrass-elliptic function.

Singularity analysis and explicit soluti
✍ Xuelin Yong; Jianwei Gao; Zhiyong Zhang 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 279 KB

The Painlevé test is performed for a new coupled nonlinear Schrödinger type equation. It is shown that this equation passes the integrability test and is P-integrable. By means of the truncated singular expansions, we construct some novel explicit solutions from the trivial zero solution. Furthermor