Bäcklund transformation of fractional Riccati equation and infinite sequence solutions of nonlinear fractional PDEs. (English) Zbl 1474.35665

Lu, Bin

Abstr. Appl. Anal. 2014, Article ID 572052, 6 p. (2014).

Summary: The Bäcklund transformation of fractional Riccati equation with nonlinear superposition principle of solutions is employed to establish the infinite sequence solutions of nonlinear fractional partial differential equations in the sense of modified Riemann-Liouville derivative. To illustrate the reliability of the method, some examples are provided.

MSC:

35R11	Fractional partial differential equations
35A30	Geometric theory, characteristics, transformations in context of PDEs

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