The nonlocal symmetry is derived for an equation combining the modified Calogero–Bogoyavlenskii–Schiff equation with its negative-order form from the truncated Painlevé expansion method. The nonlocal symmetries are localized to the Lie point symmetry by introducing new auxiliary dependent variables. The finite symmetry transformation and the Lie point symmetry for the prolonged system are solved directly. Many new interaction solutions among soliton and other types of interaction solutions for the modified Calogero–Bogoyavlenskii–Schiff equation with its negative-order form can be obtained from the consistent condition of the consistent tanh expansion method by selecting the proper arbitrary constants.

中文翻译：

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结合修正的Calogero–Bogoyavlenskii–Schiff方程及其负阶形式的方程的新的相互作用解和非局部对称性

通过截断的Painlevé展开法，将结合修改后的Calogero–Bogoyavlenskii–Schiff方程及其负阶形式的方程推导出非局部对称性。通过引入新的辅助因变量，将非局部对称性局限为李点对称性。直接求解了延长系统的有限对称变换和李点对称。可以通过选择合适的任意常数，从一致的tanh展开方法的一致条件中获得带有负阶形式的改进的Calogero-Bogoyavlenskii-Schiff方程的孤子和其他类型的相互作用解之间的许多新的相互作用解。