Lie symmetry analysis, conservation laws and analytical solutions for chiral nonlinear Schrödinger equation in (2 + 1)-dimensions [PDF]
, 2020 In this work, we consider the chiral nonlinear Schrödinger equation in (2 + 1)-dimensions, which describes the envelope of amplitude in many physical media.
Tian, Shou-Fu +3 more
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Infinitely many solutions for a gauged nonlinear Schrödinger equation with a perturbation [PDF]
, 2021 In this paper, we use the Fountain theorem under the Cerami condition to study the gauged nonlinear Schrödinger equation with a perturbation in R2. Under some appropriate conditions, we obtain the existence of infinitely many high energy solutions for ...
Liu, Jie +5 more
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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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On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]
, 2015 We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian +13 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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The Nonlinear Schrödinger Equation
, 2022 The nonlinear Schrödinger equation is a prototypical dispersive nonlinear partial differential equation that has been derived in many areas of physics and analyzed mathematically for many years. With this book, we aim to capture different perspectives of
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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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Spatiotemporal superposed rogue-wave-like breathers in a (3+1)-dimensional variable-coefficient nonlinear Schrödinger equation [PDF]
, 2016 A one-to-one relation between a variable-coefficient (3+1)-dimensional nonlinear Schrödinger equation with linear and parabolic potentials and the standard nonlinear Schrödinger equation is presented, and then superposed rogue-wave-like breather solution
Zhu, Hai-Ping, Chen, Ya-Jiang
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