Nodal soliton solutions for generalized quasilinear Schrödinger equations

Journal Article · Thu May 15 00:00:00 EDT 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4874108· OSTI ID:22250669

Deng, Yinbin; Peng, Shuangjie ^[1]; Wang, Jixiu ^[2]

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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)

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.

• OSTI ID: 22250669
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 5; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EQUATIONS
FLUID MECHANICS
LASERS
MATHEMATICAL SOLUTIONS
MATTER
MINIMIZATION
PLASMA
SOLITONS