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New exact solutions of fractional Hirota-Satsuma coupled Korteweg-de Vries equations

Cui Lian-Xiang (Dezhou University, School of Mathematical Sciences, Dezhou, China)
Yan Li-Mei (Dezhou University, School of Mathematical Sciences, Dezhou, China)
Liu Yan-Qin (Dezhou University, School of Mathematical Sciences, Dezhou, China)

An improved extended tg-function method, which combines the fractional complex transform and the extended tanh-function method, is applied to find exact solutions of non-linear fractional partial differential equations. Generalized Hirota-Satsuma coupled Korteweg-de Vries equations are used as an example to elucidate the effectiveness and simplicity of the method.

Keywords: improved extended tg-function method, modified Riemann-Liouville derivative, fractional generalized Hirota-Satsuma coupled Korteweg-de Vries equation