Results 11 to 20 of about 458,466 (259)
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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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
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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Variational Principles and Solitary Wave Solutions of Generalized Nonlinear Schrödinger Equation in the Ocean [PDF]
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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The analytic solutions of Schrödinger equation with Cubic-Quintic nonlinearities
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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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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Multiple Breathers on a Vortex Filament [PDF]
In this paper we investigate the correspondence between the Da Rios-Betchov equation, which appears in the three-dimensional motion of a vortex filament, and the nonlinear Schrödinger equation.
Akhmediev +12 more
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Noncommutative Reduction of Nonlinear Schrödinger Equation on Lie Groups
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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Higher-order integrable evolution equation and its soliton solutions [PDF]
We consider an extended nonlinear Schrödinger equation with higher-order odd and even terms with independent variable coefficients. We demonstrate its integrability, provide its Lax pair, and, applying the Darboux transformation, present its first and ...
Akhmediev, Nail, Ankiewicz, Adrian
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Exact Solutions of the (2+1)-Dimensional Stochastic Chiral Nonlinear Schrödinger Equation
In this article, we take into account the (2+1)-dimensional stochastic Chiral nonlinear Schrödinger equation (2D-SCNLSE) in the Itô sense by multiplicative noise.
S. Albosaily +3 more
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