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To describe two-place physical problems, many possible models named Alice-Bob(AB) systems are proposed. To find and to solve these systems, the Parity (P),time reversal (T), charge conjugation (C), shifted-parity ($P_s$, parity with ashift), delayed time reversal ($T_d$, time reversal with a delay) and theirpossible combinations such as PT, PC, $P_sC$, $P_sT_d$ and $P_sT_dC$ etc. canbe successively used. Especially, some special types of $P_s$-$T_d$-$C$ groupinvariant multi-soliton solutions for the KdV-KP-Toda type, mKdV-sG type, NLStype and discrete $H_1$ type AB systems are explicitly constructed.

Alice-Bob systems, $P_s$-$T_d$-$C$ principles and multi-soliton solutions