yes, there are many great rivers in China, maybe you would know The Yangtze River(or Changjiang River), The Yellow River, but there are still more in China, I find more informations on the site...
Amur - China (Manchuria), Russia (Siberia) - Sea of Okhotsk Songhua - China (Manchuria), Russia (Siberia) Brahmaputra - China (Tibet), India (Assam), Bangladesh - Bay of Bengal Chang Jiang (Yangtze)...