OK， I got a copy of the rules in Chinese for "Jungle" (literally translated as animal fighting chess). I'll post it below for reference, mostly for myself and other Sinophones if any discrepancies arise.

Most of the rules jibe with what Cariad copied. Anyway, ugh is right, an elephant can't eat a mouse. A mouse may not eat an elephant from the river. All sorts of leaps (horizontal, vertical) are ok for tigers and lions and they can eat other animals which may happen to be on the landing square. Mouse eating mouse when both in the river wasn't covered in the rules below. The rules I found weren't comprehensive, in fact they were on the download page for the shareware. The problem is that there is no 兽斗棋 federation to make the rules official. Anyone interested in downloading the shareware can follow this link

http://www.onlinedown.com/soft/18859.htm

click on the hyperlink right of the green arrow for a shareware program where you play "the computer." I've tried to get the program to jump into the river with its mouse to see if it can eat my mouse, but to no avail.

Animal(斗兽棋)—小时候常玩的动物棋。小时候总会喜欢和邻居的小孩子一起玩陆军棋、动物棋这些小但是好玩的游戏，也许你已经很久没玩了，还记得这类好玩的游戏吗？现在让这款游戏帮你重现小时候的回忆吧！在这个试用版中，你的对手是计算机，整个游戏画面是分为两块区域，一边是你的动物，另一边是计算机的动物，中间有河流分割两块区域，有三座桥梁可以让彼此的动物过河，要取得胜利，必须占领计算机那一边动物的巢穴获胜利。要移动动物，将鼠标指针移到该动物上，按鼠标左键，即可选择要行进的方向，一次只能行走一步，若是要更换动物，可以按鼠标右键，或是直接到另一个动物上按鼠标左键。除此之外，狮子和老虎可以跳跃过河流，老鼠则可以游过河流，不一定非要从桥梁过河，而且当老鼠在河中的时候，可以阻挡狮子和老虎跳过。 你在动物旁边可以看到数字，代表这个动物的强弱，你可以捕食在你旁边格子里数字一样或是比你小的动物，但唯一例外的是，老鼠可以“捕食”大象。所以你要仔细思考，运用最好的攻击方式，一举攻陷计算机的巢穴！。适合5岁以上儿童。