Analytical solution of the space-time fractional nonlinear Schrödinger equation. (English) Zbl 1378.35318
Summary: The space-time fractional nonlinear Schrödinger equation is solved by mean of on the fractional Riccati expansion method. These solutions include generalized trigonometric and hyperbolic functions which could be useful for further understanding of mechanisms of the complicated nonlinear physical phenomena and fractional differential equations. Among these solutions, some are found for the first time.
MSC:
| 35R11 | Fractional partial differential equations |
| 35A25 | Other special methods applied to PDEs |
| 35Q55 | NLS equations (nonlinear Schrödinger equations) |
| 35C07 | Traveling wave solutions |
| 35C09 | Trigonometric solutions to PDEs |
Keywords:
fractional Riccati expansion method; nonlinear fractional differential equation; modified Riemann-Liouville derivatives; space-time fractional nonlinear Schrödinger equationReferences:
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