Scientific ReportsThis study explores bifurcation phenomena in the nonlinear time-dependent Schrödinger equation and related models, applying Kudryashov’s methods to find exact solutions.
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Soliton solutions of fractional extended nonlinear Schrödinger equation arising in plasma physics and nonlinear optical fiber. [PDF]
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Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation. [PDF]
Sci Rep, 2023 Fan C, Li L, Yu F.
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The nonlinear Schrödinger equation on the half-line with homogeneous Robin boundary conditions. [PDF]
Proc Lond Math Soc, 2023 Lee JM, Lenells J.
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A Time Two-Mesh Compact Difference Method for the One-Dimensional Nonlinear Schrödinger Equation. [PDF]
Entropy (Basel), 2022 He S, Liu Y, Li H.
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Neural networks for computing and denoising the continuous nonlinear Fourier spectrum in focusing nonlinear Schrödinger equation. [PDF]
Sci Rep, 2021 Sedov EV +7 more
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Soliton dynamics in the stochastic nonlinear Schrödinger equation with self-phase modulation and multiplicative white noise. [PDF]
Sci RepShehab MF, Ahmed HM, Hussein HH.
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Multiple lump and rogue wave for time fractional resonant nonlinear Schrödinger equation under parabolic law with weak nonlocal nonlinearity. [PDF]
Opt Quantum Electron, 2022 Rizvi STR +4 more
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Linearly Implicit Finite Element Methods Approximating the Solution to the Nonlinear Schrödinger Equation with a Schamel-Type Nonlinearity. [PDF]
J Sci ComputParaschis P, Zouraris GE.
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Exact and numerical optical soliton solutions of the fractional quadratic-cubic nonlinear Schrödinger equation in conformable derivative framework. [PDF]
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