Journal
NONLINEAR DYNAMICS
Volume 92, Issue 3, Pages 1351-1358Publisher
SPRINGER
DOI: 10.1007/s11071-018-4130-4
Keywords
Gaussian spatial solitons; Reconstruction of stability; Quintic-septimal nonlinearities; PT-symmetric potential
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Funding
- Zhejiang Provincial Natural Science Foundation of China [LY17F050011]
- National Natural Science Foundation of China [11375007]
- Foundation of New Century 151 Talent Engineering of Zhejiang Province of China
- Open Fund of IPOC (BUPT)
- Youth Top-notch Talent Development and Training Program of Zhejiang AF University
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Gaussian spatial soliton solutions of both the constant-coefficient and variable-coefficient (2 + 1)-dimensional nonlinear Schrodinger equations in quintic-septimal nonlinear materials with different diffractions are presented under two kinds of -symmetric potentials. The linear stability analysis and direct numerical simulation are jointly utilized to investigate the stability for analytical solutions of the constant-coefficient equation. Results from the linear stability analysis and the direct numerical simulation possess a high degree of consistency, that is, the stable case for Gaussian spatial solitons of the constant-coefficient equation appears only in the defocusing quintic and focusing septimal nonlinear material. Moreover, reconstruction of stable Gaussian spatial solitons of the variable-coefficient equation is studied based on the expression of the effective propagation distance Z(z) by choosing an appropriate form of diffraction ss(1)(z).
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