Soliton Solutions for Quasilinear Schrödinger Equations

By using a change of variables, we get new equations, whose respective associated functionals are well defined in and satisfy the geometric hypotheses of the mountain pass theorem. Using this fact, we obtain a nontrivial solution.

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Main Author: Junheng Qu
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/953296
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author Junheng Qu
author_facet Junheng Qu
author_sort Junheng Qu
collection DOAJ
description By using a change of variables, we get new equations, whose respective associated functionals are well defined in and satisfy the geometric hypotheses of the mountain pass theorem. Using this fact, we obtain a nontrivial solution.
format Article
id doaj-art-97f6f68b5f744f359f3bc9c5b6cecbf4
institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-97f6f68b5f744f359f3bc9c5b6cecbf42025-02-03T05:58:50ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/953296953296Soliton Solutions for Quasilinear Schrödinger EquationsJunheng Qu0Information Science and Department of Mathematics, Science School of Foshan University, Foshan, Guangdong 528000, ChinaBy using a change of variables, we get new equations, whose respective associated functionals are well defined in and satisfy the geometric hypotheses of the mountain pass theorem. Using this fact, we obtain a nontrivial solution.http://dx.doi.org/10.1155/2013/953296
spellingShingle Junheng Qu
Soliton Solutions for Quasilinear Schrödinger Equations
Journal of Applied Mathematics
title Soliton Solutions for Quasilinear Schrödinger Equations
title_full Soliton Solutions for Quasilinear Schrödinger Equations
title_fullStr Soliton Solutions for Quasilinear Schrödinger Equations
title_full_unstemmed Soliton Solutions for Quasilinear Schrödinger Equations
title_short Soliton Solutions for Quasilinear Schrödinger Equations
title_sort soliton solutions for quasilinear schrodinger equations
url http://dx.doi.org/10.1155/2013/953296
work_keys_str_mv AT junhengqu solitonsolutionsforquasilinearschrodingerequations