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چکیده
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In this paper, symmetry groups of a two-dimensional weakly singular integral equation are discussed. A new method is proposed for the prolongation formula of the given equations. Using the introduced prolongation formula, we derive the symmetry groups and invariant solutions of the above-mentioned weakly singular integral equation wherever possible. In order to solve the extracted determining equation, a special approach is proposed. The symmetry groups for different types of the free terms are presented.
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