𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic analysis of the Marchenko integral equation and soliton asymptotics of a solution of the nonlinear schrödinger equation

✍ Scribed by Vladimir P. Kotlyarov


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
354 KB
Volume
87
Category
Article
ISSN
0167-2789

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Asymptotic Expansion of the Solution to
✍ Takeshi Wada 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 164 KB

This paper deals with the equation Here, u is a complex-valued function of (t, x) # R\_R n , n 2, and \* is a real number. If u 0 is small in L 2, s with s>(nÂ2)+2, then the solution u(t) behaves asymptotically as uniformly in R n as t Ä . Here , is a suitable function called the modified scatteri

Asymptotic analysis of solutions of a ra
✍ Sigrun Bodine; D. A. Lutz 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 299 KB

## Abstract We are interested in the asymptotic behavior of solutions of a Schrödinger‐type equation with oscillating potential which was studied by A. Its. Here we use a different technique, based on Levinson's Fundamental Lemma, to analyze the asymptotic behavior, and our approach leads to a comp