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 recur...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 recursionformula depending on an arbitrary function is derived.At last,some solutions of the (2 + 1)-extension of classicalBoussinesq system are digged out by using the formula.展开更多
文摘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 recursionformula depending on an arbitrary function is derived.At last,some solutions of the (2 + 1)-extension of classicalBoussinesq system are digged out by using the formula.
