Solution for (1+1)-dimensional surface solitons in thermal nonlinear media

Ma, Xuekai; Yang, Zhenjun; Lu, Daquan; Guo, Qi; Hu, Wei

doi:10.1103/physreva.83.033829

Cited by 10 publications

(6 citation statements)

References 28 publications

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“…2(a) and 2(c), we find that a SDSW in nonlocal self-defocusing media can be regarded as half of a bulk DSW with an antisymmetric amplitude distribution. The relationship has also been found between surface solitons and bulk solitons in nonlocal nonlinear media [33,38].…”

Section: Numerical Simulationsmentioning

confidence: 87%

Observation of surface dispersive shock waves in a self-defocusing medium

Wang

et al. 2015

Phys. Rev. A

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We have theoretically and experimentally investigated surface dispersive shock waves (SDSWs) at the interface between a self-defocusing medium and a linear medium. We demonstrate that SDSWs can form when the linear refractive index of the self-defocusing medium is much greater than that of the linear medium, and the initial nonlinearity far outweighs diffraction. SDSWs have been observed at the interface between air and a weakly absorbing liquid when the power of the input beam far exceeds that needed to trap a surface dark soliton. We also observed the formation of SDSWs when an input beam was projected away from the interface, and observed these patterns at the curved surface.

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Section: Numerical Simulationsmentioning

confidence: 87%

Observation of surface dispersive shock waves in a self-defocusing medium

Wang

et al. 2015

Phys. Rev. A

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“…The approximate results are confirmed by the numerical ones which are obtained using the iterative numerical technique based on the NNLSE directly. Since a surface soliton in nonlocal nonlinear media can be regarded as a half of a bulk soliton with an antisymmetric amplitude distribution 43 , 44 , the results on quadrupole-mode solitons here may also be helpful for the investigation of the surface dipole nonlocal solitons.…”

Section: Introductionmentioning

confidence: 94%

Tripole-mode and quadrupole-mode solitons in (1 + 1)-dimensional nonlinear media with a spatial exponential-decay nonlocality

Dai

Yang

Ling

et al. 2017

Sci Rep

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The approximate analytical expressions of tripole-mode and quadrupole-mode solitons in (1 + 1)-dimensional nematic liquid crystals are obtained by applying the variational approach. It is found that the soliton powers for the two types of solitons are not equal with the same parameters, which is much different from their counterparts in the Snyder-Mitchell model (an ideal and typical strongly nolocal nonlinear model). The numerical simulations show that for the strongly nonlocal case, by expanding the response function to the second order, the approximate soliton solutions are in good agreement with the numerical results. Furthermore, by expanding the respond function to the higher orders, the accuracy and the validity range of the approximate soliton solutions increase. If the response function is expanded to the tenth order, the approximate solutions are still valid for the general nonlocal case.

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“…Moreover, the nonlocal nonlinearity affect the interactions between bright solitons as observed in experiments with lead glasses [2] and nematic liquid crystal [12]. Nonlocality can also support complex solitons states, such as dipole and multipole solitons [13][14][15][16], optical lattice solitons [17][18][19], vortex solitons [20][21][22][23][24], surface solitons [25,26], incoherent solitons [27][28][29] and vector solitons [13,[30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 95%

Dark solitons in nonlocal media with competing nonlinearities

et al. 2013

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We investigate analytically and numerically the propagation properties of dark solitons in nonlocal media with competing nonlinearities. We obtain analytical relations for soliton parameters for an arbitrary degree of nonlocality. In particular, we show that the velocity of dark solitons can be affected by the degree of nonlocality of competing nonlinearities. The analytical results are confirmed by direct numerical simulations of the full model describing propagation of dark solitons in nonlocal media with competing nonlinearities.

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Solution for (1+1)-dimensional surface solitons in thermal nonlinear media

Cited by 10 publications

References 28 publications

Observation of surface dispersive shock waves in a self-defocusing medium

Observation of surface dispersive shock waves in a self-defocusing medium

Tripole-mode and quadrupole-mode solitons in (1 + 1)-dimensional nonlinear media with a spatial exponential-decay nonlocality

Dark solitons in nonlocal media with competing nonlinearities

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