Results 11 to 20 of about 5,509 (159)
Picard and Homotopy Perturbation Methods for Solving the Time-Fractional Schrödinger Equations [PDF]
Delta Journal of Science, 2020 The time-dependent Schrödinger wave equation is the basic partial differentialequation of quantum field theory. The study of this equation and itsapplications play an exceptionally important function in modern physics.
S. M. Aljawazneh, E. E. Eladdad
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The analytic solutions of Schrödinger equation with Cubic-Quintic nonlinearities
Results in Physics, 2018 This paper deals with the nonlinear Schrödinger equation with Cubic-Quintic nonlinearities. After transforming the non-autonomous nonlinear Schrödinger equation into a stationary equation by adopting the BPVK idea, we give the classification of the ...
Chun-Yan Wang
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Polar compactons and solitons in a two dimensional optical waveguide: Theory and simulations
Results in Optics, 2023 The propagation of optical cylindrical compactons and solitons in a two dimensional nonlocal nonlinear waveguide is deeply investigated by carrying a particular emphasis on its nonlinear response function.
Fabien Kenmogne +6 more
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International Journal of Physical Research, 2019 This paper studies the chiral nonlinear Schrödinger equations, describing a central role in the developments of quantum me-chanics, particularly in the field of quantum Hall effect, where chiral excitations are known to appear. More precisely, in this paper, we acquired new exact solutions of the chiral nonlinear (1+1) and (1+2)-dimensional Schrà ...
K. M. Abdul Al Woadud +4 more
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Journal of Bangladesh Academy of Sciences, 1970 The work represents and investigates the stationary solutions of the one-dimensional Non-linear Schrödinger Equation (NLSE), for attractive non-linearity, in the Bose-Einstein condensates (BEC) under the box boundary condition and calculates the characteristics of internal modes of bright solitons (eigen modes of small perturbation of the condensate ...
MH Rashid +4 more
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Variational Principles and Solitary Wave Solutions of Generalized Nonlinear Schrödinger Equation in the Ocean [PDF]
Journal of Applied and Computational Mechanics, 2021 Internal solitary waves are very common physical phenomena in the ocean, which play an important role in the transport of marine matter, momentum and energy.
Meng-Zhu Liu +4 more
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Boundary Value Problems, 2020 In this article, we study a modified maximum principle approach under condition on the weight of the delay term in the feedback and the weight of the term without delay.
Yisheng Hu +3 more
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Noncommutative Reduction of Nonlinear Schrödinger Equation on Lie Groups
Universe, 2022 We propose a new approach that allows one to reduce nonlinear equations on Lie groups to equations with a fewer number of independent variables for finding particular solutions of the nonlinear equations.
Alexander Breev +2 more
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Journal of Function Spaces, 2022 Here, the miscellaneous soliton solutions of the generalized nonlinear Schrödinger equation are considered that describe the model of few-cycle pulse propagation in metamaterials with parabolic law of nonlinearity.
Xiaoyan Li +5 more
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The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions
Abstract and Applied Analysis, 2013 The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS ...
Shoukry Ibrahim Atia El-Ganaini
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