Effects of Brownian noise strength on new chiral solitary structures
Journal of Low Frequency Noise, Vibration and Active Control, 2023 In this paper, we investigate the nonlinear Chiral Schrödinger equation (CNLSE) in two dimensions where noise term affected randomly with time. This equation characterized some edges states of fractional-Hall Effect features in quantum.
Yousef F Alharbi +2 more
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Local well-posedness for the inhomogeneous biharmonic nonlinear Schrödinger equation in Sobolev spaces [PDF]
Zeitschrift für Analysis und ihre Anwendungen, 2022 In this paper, we study the Cauchy problem for the inhomogeneous biharmonic nonlinear Schr¨odinger (IBNLS) equation where d ∈ N , s ≥ 0, 0 < b < 4, σ > 0 and λ ∈ R .
J. An, PyongJo Ryu, Jinmyong Kim
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Bifurcation into spectral gaps for strongly indefinite Choquard equations [PDF]
Communications in Contemporary Mathematics, 2022 : We consider the semilinear elliptic equations where I α is a Riesz potential, p ∈ ( N + αN , N + α N − 2 ), N ≥ 3, and V is continuous periodic. We assume that 0 lies in the spectral gap ( a, b ) of − ∆ + V .
Huxiao Luo, B. Ruf, C. Tarsi
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Normalized Solutions with Positive Energies for a Coercive Problem and Application to the Cubic-Quintic Nonlinear Schrodinger Equation [PDF]
Mathematical Models and Methods in Applied Sciences, 2021 . In any dimension N ≥ 1, for given mass m > 0 and when the C 1 energy functional is coercive on the mass constraint we are interested in searching for constrained critical points at positive energy levels.
L. Jeanjean, Sheng-Sen Lu
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Advances in Nonlinear Analysis, 2021 In this paper we are concerned with the existence, nonexistence and bifurcation of nontrivial solution of the nonlinear Schrödinger-Korteweg-de Vries type system(NLS-NLS-KdV).
Geng Qiuping, Wang Jun, Yang Jing
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Global Solutions of Modified One-Dimensional Schrödinger Equation
Communications in Mathematical Research, 2021 In this paper, we consider the modified one-dimensional Schrödinger equation: ( Dt−F(D) ) u=λ|u|u, where F(ξ) is a second order constant coefficients classical elliptic symbol, and with smooth initial datum of size ε≪1.
Ting Zhang
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Application of the Nonlinear Steepest Descent Method to the Coupled Sasa-Satsuma Equation
, 2021 We use spectral analysis to reduce Cauchy problem for the coupled SasaSatsuma equation to a 5 × 5 matrix Riemann-Hilbert problem. The upper and lower triangular factorisations of the jump matrix and a decomposition of the vector-valued spectral function ...
X. Geng
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Well-Posedness and Uniform Decay Rates for a Nonlinear Damped Schrödinger-Type Equation
Advanced Nonlinear Studies, 2021 In this paper we study the existence as well as uniform decay rates of the energy associated with the nonlinear damped Schrödinger equation,
Cavalcanti Marcelo M. +1 more
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Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate [PDF]
, 2004 Consider a system of N bosons in three dimensions interacting via a repulsive short range pair potential N 2 V (N(xi − xj)), where x = (x1, . . ., xN) denotes the positions of the particles. Let HN denote the Hamiltonian of the system and let ψN,t be the
L. Erdős, B. Schlein, H. Yau
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Blow-up solutions with minimal mass for nonlinear Schrödinger equation with variable potential
Advances in Nonlinear Analysis, 2021 This paper studies the mass-critical variable coefficient nonlinear Schrödinger equation. We first get the existence of the ground state by solving a minimization problem.
Pan Jingjing, Zhang Jian
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