Results 11 to 20 of about 433,700 (300)
Partial Differential Equations in Applied Mathematics, 2022 This work justifies the generalized Schrödinger-like equation with logarithmic nonlinearity in the statistical theory of cosmogonical body formation. Within the framework of this theory, the models and evolution equations of the statistical mechanics ...
Alexander M. Krot
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NONLINEAR SCHRÖDINGER-PAULI EQUATIONS [PDF]
Proceedings of the Conference in Honour of Murray Gell-Mann's 80th Birthday, 2010 We obtain novel nonlinear Schr dinger-Pauli equations through a formal non-relativistic limit of appropriately constructed nonlinear Dirac equations. This procedure automatically provides a physical regularisation of potential singularities brought forward by the nonlinear terms and suggests how to regularise previous equations studied in the ...
Ng, Wei Khim, Parwani, Rajesh R.
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Soliton, breather, and rogue wave solutions for solving the nonlinear Schrödinger equation using a deep learning method with physical constraints [PDF]
Chinese Physics B, 2020 The nonlinear Schrödinger equation is a classical integrable equation which contains plenty of significant properties and occurs in many physical areas.
Jun-Cai 俊才 Pu 蒲 +2 more
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Evolution of Water Wave Groups in the Forced Benney–Roskes System
Fluids, 2023 For weakly nonlinear waves in one space dimension, the nonlinear Schrödinger Equation is widely accepted as a canonical model for the evolution of wave groups described by modulation instability and its soliton and breather solutions.
Montri Maleewong, Roger H. J. Grimshaw
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Results in Physics, 2023 This article studies the generalized nonlinear Schrödinger equation, which is used to simulate the propagation model of optical pulses in Non-Kerr medium.
Kun Zhang, Zhao Li
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Results in Physics, 2021 The fractional (3+1)-dimensional nonlinear Schrödinger equation with cubic–quintic–septic nonlinearities plays a significant role in the study of ultra-short pulses in highly nonlinear optical phenomena.
Hira Tariq +6 more
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Results in Physics, 2023 This article discusses the saturable nonlinear Schrödinger equation, which is a key equation in the study of condensed matter physics, plasma physics, and nonlinear optics.
Romana Ashraf +4 more
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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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Nonlinear Schrödinger–Helmholtz equation as numerical regularization of the nonlinear Schrödinger equation [PDF]
Nonlinearity, 2008 A regularized $ -$system of the Nonlinear Schr dinger Equation (NLS) with $2 $ nonlinear power in dimension $N$ is studied. We prove existence and uniqueness of local solution in the case $1 \le
Cao, Yanping +2 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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