On Wednesday Aung San Suu Kyi's office announced she had cancelled a visit to New York for the meeting.

The cancellation will stoke further criticism of the Myanmar State Counsellor, Nobel laureate and one-time democracy icon who has strongly defended the military's crackdown on Rohingya that survivors say includes extrajudicial killings, the widespread torching of villages, gang rape and slaughter of children.

In her first address to the assembly last year, after being swept into office at historic elections, Ms Suu Kyi defended her government's treatment of Rohingya.

But instead of going to New York this year she will make a television speech at home on Tuesday.

"She is trying to control the security situation, to have internal peace and stability and to prevent the spread of communal conflict," her spokesman said.

The General Assembly is due to meet on Wednesday to discuss what the UN describes as a "textbook example of ethnic cleansing."

Relations between Bangladesh and Myanmar have collapsed after more than 400,000 Rohingya Muslims have fled Rakhine over the past three weeks, creating what aid agencies say is an emerging humanitarian catastrophe in squalid border camps.

Bangladesh accuses Myanmar of flying drones and helicopters over its border, violating its air space, over the past week and warned more "provocative acts" could have "unwarranted consequences."

"Bangladesh expresses deep concern at the repetition of such acts of provocation and demands that Myanmar take immediate measures to ensure that such violation of sovereignty does not occur again," Bangladesh's foreign ministry said in a statement.

Bangladesh's Prime Minister Sheikh Hasina is travelling to New York to speak at the UN General Assembly where she would call for international pressure to ensure Myanmar takes everyone back after stopping its "ethnic cleansing', her press secretary, Ihsanul Karim said.

Ms Hasina has asked Myanmar to implement recommendations of a panel led by former UN Secretary-General Kofi Annan that include restoring basic rights such as citizenship to Rohingya, who have been living in Rakhine for generations.

Poor and overcrowded Bangladesh is moving to fence off its border with Myanmar and build 14,000 shelters, each with the capacity to hold six families, after existing camps reached capacity.

Aid agencies have struggled to provide food, shelter and health care.

Aid groups worry diseases like cholera will spread through the settlements.

Myanmar's military launched the crackdown after Muslim insurgents attacked police posts and a military base on August 25.

The terror group al-Qaeda has warned the violence against Muslims will not go unpunished and urged jihadists to set out to Myanmar to "resist this oppression."

Save the Children says the unprecedented arrival of Rohingya refugees in Bangladesh is putting huge stress on humanitarian agencies and more than 380,000 refugees who were already living in border camps.

"Many people are arriving hungry, exhausted and with no food or water, having left their homes in fear of their lives," said Mark Pierce, Save the Children's Country Director in Bangladesh.

"I'm particularly worried that the demand for food, shelter, water and basic hygiene support is not being met due to the sheer number of people in need," he said.

"If families can't meet their basic needs, the suffering will get even worse and lives could be lost."

Mr Pierce warns the number of displaced people at the border could rise beyond one million by the end of the year if the influx continues, including about 600,000 children.

"Local communities have been extremely accommodating, often welcoming the Rohingya into their homes and sharing precious food and water," he said.

"Aid agencies are doing all they can to help, however the humanitarian response needs to be rapidly scaled up, and that can only be done if the international community steps up funding."

More than 1,100 separated or unaccompanied Rohingya children have fled Rakhine, aid agencies say.

Some became orphans when their parents were killed in the violence.

"Beneath the hardship and suffering faced by the Rohingya who've arrived in Bangladesh, there is a child protection crisis on our doorstep," Mr Pierce said.

"We're seeing a number of children arriving alone and in desperate need of help," he said.

"This is a real concern as these children are in an especially vulnerable position, being at increased risk of exploitation and abuse, as well as things like child trafficking."