The paper's Lie symmetry analysis of the (3+1)D ZK equation contains an invalid invariant solution, an incorrect commutator table, and a vacuous self-adjointness check, so the claimed exact solutions and conservation laws are not reliable.
Wazwaz, Partial differential equations and solitary waves theory, Springer Science & Business Media, 2010
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Soliton Dynamics and Modulation Instability in the (3+1)-dimensional ZK equation: A Lie Symmetry Approach
The paper's Lie symmetry analysis of the (3+1)D ZK equation contains an invalid invariant solution, an incorrect commutator table, and a vacuous self-adjointness check, so the claimed exact solutions and conservation laws are not reliable.