Two-dimensional modulation instability and higher-order soliton clusters in nematic liquid crystals with competing re-orientational and thermal nonlocal nonlinearities

Du, Biao; Ge, Lijuan; Shen, Ming

doi:10.1016/j.rinp.2024.107433

Results in Physics

2024

DOI: 10.1016/j.rinp.2024.107433

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Two-dimensional modulation instability and higher-order soliton clusters in nematic liquid crystals with competing re-orientational and thermal nonlocal nonlinearities

Biao Du,

Lijuan Ge,

Ming Shen

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2024

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Modulation instability in nonlinear media with sine-oscillatory nonlocal response function and pure quartic diffraction

Yang,

Shen

2024

Sci Rep

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Modulation instability of one-dimensional plane wave is demonstrated in nonlinear Kerr media with sine-oscillatory nonlocal response function and pure quartic diffraction. The growth rate of modulation instability, which depends on the degree of nonlocality, coefficient of quartic diffraction, type of the nonlinearity and the power of plane wave, is analytically obtained with linear-stability analysis. Different from other nonlocal response functions, the maximum of the growth rate in media with sine-oscillatory nonlocal response function occurs always at a particular wave number. Theoretical results of modulation instability are confirmed numerically with split-step Fourier transform. Modulation instability can be controlled flexibly by adjusting the degree of nonlocality and quartic diffraction.

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Modulation instability in nonlinear media with sine-oscillatory nonlocal response function and pure quartic diffraction

Yang,

Shen

2024

Sci Rep

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show abstract

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Two-dimensional modulation instability and higher-order soliton clusters in nematic liquid crystals with competing re-orientational and thermal nonlocal nonlinearities

Cited by 1 publication

References 68 publications

Modulation instability in nonlinear media with sine-oscillatory nonlocal response function and pure quartic diffraction

Modulation instability in nonlinear media with sine-oscillatory nonlocal response function and pure quartic diffraction

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