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Standing Waves of the Coupled Nonlinear Schrdinger Equations

Standing Waves of the Coupled Nonlinear Schr dinger Equations
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摘要 In this paper, we study the existence of standIng waves of the coupled nonlinear Schrodinger equations. The proofs of which rely on the Lyapunov-Schmidt methods and contraction mapping principle are due to F. Weinstein in . In this paper, we study the existence of standIng waves of the coupled nonlinear Schrodinger equations. The proofs of which rely on the Lyapunov-Schmidt methods and contraction mapping principle are due to F. Weinstein in .
作者 Linlin Yang Gongming Wei
机构地区 Jiuting Middle school of Shanghai College of Science
出处 《Analysis in Theory and Applications》 2014年第4期345-353,共9页 分析理论与应用（英文刊）
基金 supported by the USST Cultivation Project for General Programm (No. 14XPM02)
关键词 Coupled nonlinear Schrodinger equations Lyapunov-Schmidt contraction mappingprinciple. Coupled nonlinear Schrodinger equations, Lyapunov-Schmidt, contraction mappingprinciple.
分类号 O175 [理学—基础数学]
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参考文献10

  • 1A. Floer and A. Weinstein, Nonspreading wave packets for the cubic Schr6dinger equation with a bounded potential, J. Funct. Anal., 69 (1986), 397-408.
  • 2A. Ambrosetti and E. Colorado, Bound and ground states of coupled nonlinear Schr6dinger equations, C. R. Math. Acad. Sci. Paris, 342 (2006), 453-458.
  • 3C Taubes, Self-dual connections on non-self-dual 4-manifolds, J. Differential Geom., 17 (1982), 139-170.
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  • 5L. A. Maia, E. Montefusco and B. Pellacci, Positive solutions for a weakly coupled nonlinear SchrOdinger systerm, J. Differ. Equ., 229 (2006), 743-767.
  • 6T.-C. Lin and J. Wei, Spikes in two coupled nonlinear SchrOdinger equations, Ann. I. H. Poincar6-AN, 22 (2005), 403--439.
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Analysis in Theory and Applications
2014年 第4期

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