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Nonexistence of travelling wave solutions to nonelliptic nonlinear schrödinger equations

✍ Scribed by J. M. Ghidaglia; J. C. Saut


Book ID
105573454
Publisher
Springer
Year
1996
Tongue
English
Weight
251 KB
Volume
6
Category
Article
ISSN
0938-8974

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Analytic Solutions to Nonelliptic Nonlin
✍ A. Debouard 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 495 KB

We prove local existence of analytic solutions for nonlinear Schrödinger-type equations. The class we consider includes a number of equations derived from the physical context of water waves. 1993 Academic Press, Inc.

Traveling wave solutions of the Schrödin
✍ Fanghua Lin; Juncheng Wei 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 286 KB 👁 1 views

## Abstract We first construct traveling wave solutions for the Schrödinger map in ℝ^2^ of the form __m__(__x__~1~, __x__~2~ − ϵ __t__), where __m__ has exactly two vortices at approximately $\font\open=msbm10 at 10pt\def\R{\hbox{\open R}}(\pm {{1}\over{2 \epsilon}}, 0) \in \R^2$ of degree ±1. We