Soliton solutions in nonlocal nonlinear coupler
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DOI: 10.1007/s11071-016-3255-6
Abstract: We study the existence of soliton pairs in nonlocal nonlinear coupler and the effects of nonlocal nonlinearity on the stability and types of soliton pairs. Bright soliton, dipole soliton, periodic soliton, double soliton and dark… read more here.
Keywords: nonlocal nonlinear; solutions nonlocal; soliton; soliton solutions ... See more keywords
Dark and gray solitons of ($$2+1$$2+1)-dimensional nonlocal nonlinear media with periodic response function
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DOI: 10.1007/s11071-017-3448-7
Abstract: By using the standard symmetry reduction method, some exact analytical solutions including gray solitons and gray soliton lattice solutions are derived for the ($$2+1$$2+1)-dimensional nonlinear optical media with periodic nonlocal response. Furthermore, dark/gray soliton solutions… read more here.
Keywords: nonlocal nonlinear; response; dark gray; media periodic ... See more keywords
A general integrable three-component coupled nonlocal nonlinear Schrödinger equation
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DOI: 10.1007/s11071-017-3621-z
Abstract: In this paper, we investigate a general integrable three-component coupled nonlocal nonlinear Schrödinger system with the parity-time symmetry. The general Nth Darboux transformation for this equation is constructed by proposing its Lax pair and infinitely… read more here.
Keywords: general integrable; nonlocal nonlinear; integrable three; coupled nonlocal ... See more keywords
Dynamics of nonlocal and localized spatiotemporal solitons for a partially nonlocal nonlinear Schrödinger equation
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DOI: 10.1007/s11071-018-4123-3
Abstract: A (3 + 1)-dimensional partially nonlocal nonlinear Schrödinger equation with variable coefficients is considered, and two kinds of reduction are presented. Based on these transformations, via Darboux transformation method and Hirota method, nonlocal and localized spatiotemporal soliton… read more here.
Keywords: nonlinear schr; nonlocal nonlinear; localized spatiotemporal; partially nonlocal ... See more keywords
Dynamics of high-order solitons in the nonlocal nonlinear Schrödinger equations
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DOI: 10.1007/s11071-018-4373-0
Abstract: A study of high-order solitons in three nonlocal nonlinear Schrödinger equations is presented. These include the $$\mathcal {PT}$$PT-symmetric, reverse-time, and reverse-space-time nonlocal nonlinear Schrödinger equations. General high-order solitons in three different equations are derived from… read more here.
Keywords: order; nonlinear schr; nonlocal nonlinear; order solitons ... See more keywords
Dynamics of solitons in the fourth-order nonlocal nonlinear Schrödinger equation
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DOI: 10.1007/s11071-019-05354-2
Abstract: We consider the fourth-order nonlocal nonlinear Schrödinger equation and generate the Lax pair. We then employ Darboux transformation to generate dark and antidark soliton solutions. The highlight of the results is that one ends up… read more here.
Keywords: dinger equation; nonlinear schr; nonlocal nonlinear; fourth order ... See more keywords
Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data
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DOI: 10.1016/j.jde.2020.08.003
Abstract: Abstract We study the Cauchy problem for the integrable nonlocal nonlinear Schrodinger (NNLS) equation i q t ( x , t ) + q x x ( x , t ) + 2 q 2… read more here.
Keywords: equation step; nonlocal nonlinear; problem; like initial ... See more keywords
Hermite-Gaussian stationary solutions in strongly nonlocal nonlinear optical media
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DOI: 10.1016/j.optcom.2016.09.021
Abstract: Abstract Approximate analytical stationary solutions (SSs) of a cluster of Hermite–Gaussian (HG) shape is obtained in strongly nonlocal nonlinear media by the variational approach. The evolution of the HG SSs shows that when the order… read more here.
Keywords: stationary solutions; nonlocal nonlinear; hermite gaussian; gaussian stationary ... See more keywords
Propagation of hollow sinh-Gaussian beams in strongly nonlocal nonlinear media
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DOI: 10.1016/j.optcom.2020.126400
Abstract: Abstract Based on the Snyder-Michell model and using the ABCD matrix description of a strongly nonlocal nonlinear media (SNNM), the propagation properties of hollow sinh-Gaussian beams (HsGBs) through SNNM are investigated. The propagation formula, the… read more here.
Keywords: propagation; nonlinear media; hollow sinh; nonlocal nonlinear ... See more keywords
Mixed soliton solutions of the defocusing nonlocal nonlinear Schrödinger equation
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DOI: 10.1016/j.physd.2018.11.001
Abstract: Abstract By using the Darboux transformation, we obtain two new types of exponential-and-rational mixed soliton solutions for the defocusing nonlocal nonlinear Schrodinger equation. We reveal that the first type of solution can display a large… read more here.
Keywords: nonlocal nonlinear; mixed soliton; soliton; soliton solutions ... See more keywords
Periodical collision between hollow solitons in (2+1)-dimensional nonlocal nonlinear Schrödinger equation
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DOI: 10.1016/j.rinp.2019.102353
Abstract: Abstract We theoretically investigate the co-propagation characteristics of two hollow solitons in (2+1)-dimensional nonlocal nonlinear Schrodinger equation, which can be regarded as a mathematical model of optical nonlocal nonlinear media. It is found that the… read more here.
Keywords: solitons dimensional; dimensional nonlocal; collision; nonlocal nonlinear ... See more keywords