NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2017, 8 (1), P. 24–28
Stationary nonlinear Schrödinger equation on the graph for the triangle with outgoing bonds
K. K. Sabirov – Turin Polytechnic University in Tashkent; Tashkent University of Information Technologies, Amir Temur Str. 108, Tashkent, Uzbekistan; karimjonsabirov80@gmail.com
M. Aripov – Department of Mathematics, National University of Uzbekistan, University Str. 1, 100174, Tashkent, Uzbekistan
D. B. Sagdullayev – Department of High Matnematics, Tashkent State University of Economy, Uzbekistan Str., 49, 100003, Tashkent, Uzbekistan
We consider the stationary (cubic) nonlinear Schrödinger equation (NLSE) on a simple metric graph in the form of a triangle with three infinite outgoing bonds. Exact solutions are obtained for primary star graph with the boundary vertex conditions providing the wave function weights continuity and flux conservation for the case of repulsive non-linearity.
Keywords: Nonlinear Schrödinger equation, a metric graph, repulsive nonlinearity.
PACS 05.45.Yv
DOI 10.17586/2220-8054-2017-8-1-24-28
I have been browsing online greater than three hours today, yet I by no means discovered any interesting article like yours. It is lovely worth enough for me. In my view, if all webmasters and bloggers made excellent content as you did, the internet will likely be a lot more helpful than ever before. “When you are content to be simply yourself and don’t compare or compete, everybody will respect you.” by Lao Tzu.
I¦ve been exploring for a bit for any high-quality articles or blog posts on this sort of house . Exploring in Yahoo I at last stumbled upon this web site. Studying this info So i am happy to express that I’ve an incredibly excellent uncanny feeling I came upon exactly what I needed. I such a lot indisputably will make certain to do not disregard this site and provides it a look regularly.
I truly value your piece of work, Great post.
Hello There. I found your blog using msn. This is a very well written article. I’ll make sure to bookmark it and come back to read more of your useful info. Thanks for the post. I will definitely comeback.
Hi there! Do you use Twitter? I’d like to follow you if that would be ok. I’m absolutely enjoying your blog and look forward to new posts.
Hey there! This is my first comment here so I just wanted to give a quick shout out and say I truly enjoy reading through your posts. Can you recommend any other blogs/websites/forums that deal with the same topics? Appreciate it!
O Cupom da Vez é um aplicativo inovador que permite aos usuários ganhar dinheiro extra ao avaliar produtos e cupons em categorias como vestuário, eletrônicos, itens domésticos e muito mais.
O Cupom da Vez é um aplicativo inovador que permite aos usuários ganhar dinheiro extra ao avaliar produtos e cupons em categorias como vestuário, eletrônicos, itens domésticos e muito mais.
I wanted to thank you for this great read!! I definitely enjoying every little bit of it I have you bookmarked to check out new stuff you post…
I think this web site has got very good written articles content.
I discovered your blog site on google and check a few of your early posts. Continue to keep up the very good operate. I just additional up your RSS feed to my MSN News Reader. Seeking forward to reading more from you later on!…
Aw, this was a really nice post. In idea I want to put in writing like this moreover – taking time and actual effort to make an excellent article… however what can I say… I procrastinate alot and under no circumstances appear to get one thing done.
I believe you have remarked some very interesting details, thanks for the post.