Abstract
We deal with the (2+1)-extension of classical Boussinesq system, which can reduce to several meaningful (1+1)-dimensional systems. By studying its Lax pair, we put forward invariances of Lax pair at first, then a recursion formula depending on an arbitrary function is derived. At last, some solutions of the (2+1)-extension of classical Boussinesq system are digged out by using the formula.
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