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Title: Nodal soliton solutions for generalized quasilinear Schrödinger equations

This paper is concerned with constructing nodal radial solutions for generalized quasilinear Schrödinger equations in R{sup N} which arise from plasma physics, fluid mechanics, as well as high-power ultashort laser in matter. For any given integer k ⩾ 0, by using a change of variables and minimization argument, we obtain a sign-changing minimizer with k nodes of a minimization problem.
Authors:
;  [1] ;  [2]
  1. School of Mathematics and Statistics, Huazhong Normal University, Wuhan 430079 (China)
  2. School of Mathematics and Computer Science, Hubei University of Arts and Science, Xiangyang 441053 (China)
Publication Date:
OSTI Identifier:
22250669
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 5; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EQUATIONS; FLUID MECHANICS; LASERS; MATHEMATICAL SOLUTIONS; MATTER; MINIMIZATION; PLASMA; SOLITONS