CAIRO (Agencies) Egyptians woke to a new dawn on Saturday after 30 years of autocratic rule under Hosni Mubarak, full of hope after achieving almost unthinkable change, with the army in charge and an uncertain future ahead. Seeing protesters triumph in Egypt, protests also broke out in Algeria and Yemen on Saturday. In Cairo, the sound of car horns honking in jubilation grew louder after a night when millions throughout the Arab worlds most populous country joyfully celebrated the fall of the president. The Revolution of the Youths forced Mubarak to leave, said a front-page headline in the state-owned Al-Ahram newspaper. The January 25 Revolution won. Mubarak steps out and the army rules, said Al-Gomhuria, another state-run daily. It remained to be seen how the military high command would create democracy for the first time in a country that traces its history back to the pharaohs more than 5,000 years ago and that has seen such upheaval in an uprising that took just 18 days. The first priority was law and order before the start of the working week, which begins on Sunday in Egypt. Army tanks and soldiers stayed on the streets guarding key intersections and government buildings after the disgraced police force melted away. The new military administration and the pro-democracy protesters were at odds over the path to democratic rule. The army sought to stave off pressure from jubilant protesters to swiftly hand power to a civilian-led administration by saying that it is committed to a free democratic state. The military leadership gave no timetable for the political transition, and many of the demonstrators who filled Cairos Tahrir square for 18 days rejected the militarys appeal to dismantle the barricades and go home. They said they were waiting for specific commitments from the military on their demand for a civilian-controlled interim administration, the lifting of the oppressive state of emergency and other steps toward political liberalisation. Some of the organisers of Egypts revolution announced they had formed a council to negotiate with the military and to oversee future demonstrations to keep up the pressure on the army to meet the demand for rapid democratic change. The council will have the authority to call for protests or call them off depending on how the situation develops, said Khaled Abdel Qader Ouda, one of the organisers. Earlier, General Mohsen el-Fangari said in a televised statement that the military intends to oversee a peaceful transition of power to allow an elected civilian government to rule and build a free democratic state. He said the present cabinet would continue to sit until a new one is formed. El-Fangari announced that the widely-ignored overnight curfew imposed during the crisis would be shortened by several hours. The military council also sought to allay American and Israeli concerns by saying that Egypt will continue to respect international treaties it has signed. With the threat of possible confrontation between the army and protesters now gone, Cairo residents took souvenir photographs of each other with smiling soldiers at roadblocks to record the first day of a new post-Mubarak era. I could not have imagined living to see such a day ... I just hope the new system in Egypt benefits us and fulfils our dreams, Essam Ismail, a Cairo resident in his thirties, told Reuters. I still cant believe it really happened. Egypts military leaders said they were committed to eventually handing over power to an elected civilian administration that will abide by its international agreements. The military announced Saturday it has also asked the current government appointed by ousted president Hosni Mubarak to continue operating until a new one is formed. The statement, read by a senior officer on state television, came a day after the Supreme Council of the Armed Forces took control of running the country following an 18-day uprising in Cairo and other major Egyptian cities in protest of Mubaraks decades in power. In other moves aimed at appeasing protesters, the military relaxed a night-time curfew and banned current and ex-government officials from travelling abroad without permission. Some protesters who had camped out in the capitals central square said they were not going to end demonstrations until their demands for democracy are met. Al Arabiya television said the army would soon dismiss the cabinet and suspend parliament. The head of the Constitutional Court would join the leadership with the military council, which was given the job of running the country of 80 million people. Despite misgivings about military rule, the best deterrent to any attempt to keep the high command in power could be the street power and energy of protesters nationwide who showed Mubarak they could make Egypt ungovernable without their consent. As persistent turmoil in Tunisia showed, a month after the overthrow of it autocratic ruler inspired Egyptians to act, the new government would face huge social and economic problems. A wave of people power roared across this pivotal US ally in the Middle East. Throughout the region and beyond, autocratic rulers were now calculating their chances of survival. Its broken a psychological barrier, not just for North Africa, but across the Middle East. I think you could see some contagion in terms of protests; Morocco, perhaps Jordan, Yemen, said Anthony Skinner of political risk consultancy Maplecroft. Pro-democracy activists in Tahrir Square have vowed to stay there until the Higher Military Council now running Egypt accepts their agenda for reform. In two communiques, the core group of protest organisers demanded the lifting of a state of emergency that was used by deposed President Hosni Mubarak to crush dissent and opposition. Other demands from Tahrir reformists included the release of all political prisoners and the disbanding of military courts. They also want civilian involvement in the transitional process. In Algeria, thousands of police in riot gear poured into the centre of the capital on Saturday to try to stop a planned demonstration there from copying the uprising which forced out Mubarak. Protesters shouted anti-government slogans in a square in Algerias capital on Saturday but they were encircled by hundreds of police trying to stamp out any attempt to stage an Egypt-style revolt. Government opponents called for a mass protest march to demand democratic change and jobs, but most local residents so far stayed away and thousands of police in riot gear were moved to the capital to enforce a ban on the march. I am sorry to say the government has deployed a huge force to prevent a peaceful march. This is not good for Algerias image, said Mustafa Bouchachi, a leader of the League for Human Rights which is helping organise the protest. The small knot of protesters on May 1 Square, near the centre of the city, shouted Bouteflika Out - a reference to the Algerian president and some waved copies of a newspaper front page with the headline 'Mubarak has fallen In Yemen, thousands of Yemeni demonstrators, inspired by Egyptian protests that toppled the president, called on Saturday for a similar revolution and clashed with government supporters with fists and batons in the streets of Sanaa. The scuffles came hours after men armed with knives and sticks forced around 300 anti-government protesters to quit a demonstration in the Yemeni capital, witnesses said. The people want the fall of the government, protesters chanted. A Yemeni revolution after the Egyptian revolution. Around 300 anti-government student demonstrators assembled at Sanaa University on Saturday morning. As numbers swelled into the thousands, they began marching towards the Egyptian embassy but encountered a pro-government demonstration on the way. Scuffles broke out with some protesters throwing their shoes at their opponents while others clashed with batons and fists. Two people were lightly injured. Later, pro-government demonstrators armed with knives and batons broke up a protest by around 2,000 Yemenis inspired by the overthrow of Egypts president. A group of government supporters armed with knives and sticks confronted the protesters. Scuffles broke out and the protesters were forced to flee. Two people were lightly injured, witnesses said. The clash came after armed men forced around 300 anti-government protesters to quit an impromptu demonstration in the Yemeni capital on Friday night. Yemeni authorities detained at least 10 people after anti-government protesters in Sanaa celebrated Mubaraks downfall on Friday, U.S.-based Human Rights Watch said. The group said the celebrations turned to clashes when hundreds of men armed with assault rifles, knives and sticks attacked the protesters while security forces stood by. On Saturday, Yemen said it respected the choice of the Egyptian people and would support them in their search for progress and development.