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Instability of single- and double-periodic waves in the fourth-order nonlinear Schrödinger equation
In this work, we investigate the instability of single- and double-periodic waves of a fourth-order nonlinear Schrödinger equation, which describes...
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Normalized solutions for a fourth-order Schrödinger equation with a positive second-order dispersion coefficient
In this paper, we study normalized solutions to a fourth-order Schrödinger equation with a positive second-order dispersion coefficient in the mass...
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Ground state solution for a weighted fourth-order Schrödinger equation with exponential growth nonlinearity
In this paper, we establish the existence of a ground state solution for a weighted fourth-order equation of Shrödinger type under boundary Dirichlet...
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Bright, dark, and periodic soliton solutions for the (2+1)-dimensional nonlinear Schrödinger equation with fourth-order nonlinearity and dispersion
This paper introduces a novel model proposed by Wazwaz et al. in 2023, in the nonlinear optics literature. This contributes to advancing optical...
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Unveiling optical solitons and other solutions for fourth-order (2+1)-dimensional nonlinear Schrödinger equation by modified extended direct algebraic method
The (2+1)-dimensional nonlinear Schrödinger equation with fourth-order nonlinearity and dispersion is investigated in this study. Several optical...
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Energy Scattering for Non-radial Inhomogeneous Fourth-Order Schrödinger Equations
It is the goal of this manuscript to establish the scattering of global solutions to the following bi-harmonic Schrödinger equation, in the focusing...
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Global Well-posedness for the Fourth-order Defocusing Cubic Equation with Initial Data Lying in a Critical Sobolev Space
This paper is devoted to study the Cauchy problem of the fourth-order defocusing, cubic equation iu t + Δ 2 u = − ∣ u ∣ 2 u in critical Sobolev space. We...
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Long-time behavior of solutions to a fourth-order nonlinear Schrödinger equation with critical nonlinearity
We consider the long-time behavior of solutions to a fourth-order nonlinear Schrödinger (NLS) equation with a derivative nonlinearity. By using the...
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Degenerate solitons in a generalized nonlinear Schrödinger equation
Today, nonlinear Schrödinger-type equations are the focus of explorers and scientists. Hereby, we look into a generalized nonlinear Schrödinger...
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Dynamical behavior of the higher-order cubic-quintic nonlinear Schrödinger equation with stability analysis
In this paper, we explore the intricate dynamics of ultrashort light pulses using a sophisticated higher-order nonlinear Schrödinger equation (NLSE)....
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Exact solutions, bifurcation analysis and chaotic behavior of high-order nonlinear Schrödinger equation with conformal fractional derivative
This study thoroughly investigates the dynamical properties, analytical solutions and chaotic behavior of the high-order nonlinear Schrödinger...
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Analytic solutions for stochastic fourth-order (2+1)-dimensional NLSE with higher order odd and even terms using IMETFM
Our goal in this paper is to obtain the analytic solutions for stochastic fourth-order (2+1)-dimensional nonlinear Schrödinger equation (NLSE) with...
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Exact Controllability of the Linear Biharmonic Schrödinger Equation with Space-Dependent Coefficients
This paper deals with the exact boundary controllability of the linear fourth-order Schrödinger equation with space-dependent coefficients and...
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Coexistence of the breather and the rogue waves for a coupled nonlinear Schrödinger equation
In this paper, based on the modified Darboux transformation, a new first-order solution of coupled fourth-order nonlinear Schrödinger equation (cNLS)...
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Dynamical behavior of nonlinear cubic-quartic Fokas-Lenells equation with third and fourth order dispersion in optical pulse propagation
In this article, the nonlinear cubic-quartic Fokas-Lenells equation with third and fourth order dispersion is theoretically investigated. The...
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Nodal Multi-peak Standing Waves of Fourth-Order Schrödinger Equations with Mixed Dispersion
We consider the existence and concentration properties of standing waves for a fourth-order Schrödinger equation with mixed dispersion, which was...
