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Formation and propagation of fundamental and vortex soliton families in 1D and 2D dual-Lévy-index fractional nonlinear Schrödinger equations with cubic–quintic nonlinearity

Ming Zhong, Yong Chen, Zhenya Yan, Boris A. Malomed

2024Physica D Nonlinear Phenomena11 citationsDOI

Topics & Concepts

Quintic functionVortexPhysicsNonlinear systemPerturbation (astronomy)Nonlinear Schrödinger equationDiffractionSolitonInstabilityAnisotropyMathematical analysisClassical mechanicsQuantum mechanicsMathematicsMechanicsFractional Differential Equations SolutionsNonlinear Photonic SystemsNonlinear Waves and Solitons
Formation and propagation of fundamental and vortex soliton families in 1D and 2D dual-Lévy-index fractional nonlinear Schrödinger equations with cubic–quintic nonlinearity | Litcius