US President George W Bush and his Chinese counterpart, Jiang Zemin, have said they both oppose any nuclear weapons on the Korean peninsula. The two presidents, meeting at Mr Bush's Texas ranch, vowed to seek a peaceful resolution to the crisis that has followed North Korea's admission that it is developing nuclear arms. It was announced after the meeting that Vice-President Dick Cheney would visit China next year. Mr Bush said he had also urged Mr Jiang to support a tough new UN resolution on disarming Iraq. Mr Bush said he wanted to work with China, South Korea, Japan and Russia to ''come up with a common strategy to convince (North Korean President) Kim Jong-il to disarm''.