On integrability of the higher dimensional time fractional KdV-type equation
The authors study some properties of the following high-dimensional time-fractional KdV-type equation: \[ D^\alpha_t+6u_xu_y+u_{xxy}+u_{xxxxz}+60u^2_{x}u_z+10u_{xxx}u_z+20u_xu_{xxz}+6u_xu_z+u_{xxz}=0, \] where \(D_t^\alpha\) stands for the fractional differential operator of order \(\alpha>0.\) By using fractional Lie group techniques, the authors obtain symmetries of the above PDE. Further, via a suitable conservation theorem, they get conservation laws.
higher-dimensional time-fractional KdV-type equation
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