AAM  >> Vol. 5 No. 2 (May 2016)

    Lie Group Reduction for a Kind of Space-Fractional Order Nonlinear SchrO¨dinger Equation

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周春红,化存才:云南师范大学数学学院,云南 昆明

空间分数阶非线性SchrO¨dinger方程李群约化群不变解行波解Space-Fractional Order Nonlinear SchrO¨dinger Equation Lie Group Reduction Group-Invariant Solutions Travelling Wave Solutions


This paper will apply the Lie group reduction method to a kind of space-fractional order nonlinear Schrödinger equation. New single parameter solutions and reduced equations of Lie symmetry are obtained for the equation. Moreover, by solving the reduced equation of Lie symmetry, some group-invariant solutions and travelling wave solutions are given for the space-fractional order nonlinear Schrödinger equation.

周春红, 化存才. 一类空间分数阶非线性SchrO¨dinger方程的李群约化[J]. 应用数学进展, 2016, 5(2): 310-319. http://dx.doi.org/10.12677/AAM.2016.52039


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