Results 131 to 140 of about 359,520 (242)
Gap solitons in periodic Schrodinger lattice system with nonlinear hopping
Electronic Journal of Differential Equations, 2016 This article concerns the periodic discrete Schrodinger equation with nonlinear hopping on the infinite integer lattice. We obtain the existence of gap solitons by the linking theorem and concentration compactness method together with a periodic ...
Ming Cheng, Alexander Pankov
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Nonlinear damped Schrodinger equation in two space dimensions
Electronic Journal of Differential Equations, 2015 In this article, we study the initial value problem for a semi-linear damped Schrodinger equation with exponential growth nonlinearity in two space dimensions. We show global well-posedness and exponential decay.
Tarek Saanouni
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Electronic Journal of Differential Equations, 2001 In this paper, we study the existence of global solutions to Schrodinger equations in one space dimension with a derivative in a nonlinear term. For the Cauchy problem we assume that the data belongs to a Sobolev space weaker than the finite energy space
Hideo Takaoka
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On the rigidity of minimal mass solutions to the focusing mass-critical NLS for rough initial data
Electronic Journal of Differential Equations, 2009 For the focusing mass-critical nonlinear Schrodinger equation $iu_t+Delta u=-|u|^{4/d}u$, an important problem is to establish Liouville type results for solutions with ground state mass.
Dong Li, Xiaoyi Zhang
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Asymptotic behavior for a quadratic nonlinear Schrodinger equation
Electronic Journal of Differential Equations, 2008 We study the initial-value problem for the quadratic nonlinear Schrodinger equation $$displaylines{ iu_{t}+frac{1}{2}u_{xx}=partial _{x}overline{u}^{2},quad xin mathbb{R},; t>1, cr u(1,x)=u_{1}(x),quad xin mathbb{R}. }$$ For small initial data $u_{
Pavel I. Naumkin, Nakao Hayashi
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Global well-posedness for the radial defocusing cubic wave equation on $R^3$ and for rough data
Electronic Journal of Differential Equations, 2007 We prove global well-posedness for the radial defocusing cubic wave equation $$displaylines{ partial_{tt} u - Delta u = -u^{3} cr u(0,x) = u_{0}(x) cr partial_{t} u(0,x) = u_{1}(x) }$$ with data $(u_0, u_1) in H^{s} imes H^{s-1}$, $1 > s
Tristan Roy
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On multi-lump solutions to the non-linear Schrodinger equation
Electronic Journal of Differential Equations, 1998 We present a new approach to proving the existence of semi-classical bound states of the non-linear Schrodinger equation which are concentrated near a finite set of non-degenerate critical points of the potential function.
Robert Magnus
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Electronic Journal of Differential Equations, 2018 A geometrical formulation of Heisenberg ferromagnetism as an evolution of a curve on the unit sphere in terms of intrinsic variables is provided and investigated.
Francesco Demontis +2 more
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Quintic non-polynomial spline for time-fractional nonlinear Schrödinger equation. [PDF]
Adv Differ Equ, 2020 Ding Q, Wong PJY.
europepmc +1 more source
On the Schrodinger equations with isotropic and anisotropic fourth-order dispersion
Electronic Journal of Differential Equations, 2016 This article concerns the Cauchy problem associated with the nonlinear fourth-order Schrodinger equation with isotropic and anisotropic mixed dispersion.
Elder J. Villamizar-Roa, Carlos Banquet
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