They are leaving the sectarian conflict to the Iraqi police and focusing on the insurgency.
It has seen little of the Taliban insurgency which has gripped north-west Pakistan over the last few years.
It's one of the areas where the Sunni-led insurgency has been at its most persistent.
That dynamic could bolster the regime's argument that they are fighting an extremist insurgency, officials said.
The insurgency spread in the 1980s to Andhra Pradesh, Maharashtra, Bihar and Madhya Pradesh.
So far Dr Jaafari has given little sign of wanting to accommodate the Sunni insurgency.
However observers warn against over-stating the existence of one unified insurgency against the Pakistani state.
Prime Minister Manmohan Singh has described the Maoist insurgency as India's biggest internal security challenge.
Bell argues that the insurgency was fuelled by the extraordinarily tenacious hold of religious culture.
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The attacker came from the North Caucasus where Russia is battling an Islamist insurgency.
But that's an uphill task with a raging Islamist insurgency responsible for bombings throughout the country.
By the mid-1980s the young generation was already a long way down the path to insurgency.
Yet 20 years after the start of the insurgency, hostility and resentment remain in Kashmir.
The terrorist attacks strengthened the Kremlin's resolve to crush the insurgency and its refusal to negotiate.
The far larger insurgency, however, is not foreign, but is made up of Iraqis.
In 2006 they wrote a counter-insurgency manual that drew partly on Britain's colonial wars.
Meanwhile, the insurgency that has terrorised southern Afghanistan since the Taliban were toppled has spread northwards.
It has rewritten its counter-insurgency manual, replaced its Cold War doctrine, and updated its training.
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But officials estimate that some 8, 000 Farc guerrillas are still fighting Latin America's longest-running insurgency.
The former police captain ran a covert counter-insurgency unit that detained and killed anti-apartheid activists.
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There's increasing concern that the continuing political deadlock in Iraq is feeding the insurgency.
Mr Sadr agreed in principle last month to trade armed insurgency for peaceful party politics.
Young Sunnis who once joined the insurgency are now joining the army and police.
These saw US and Philippine troops training together in the regions worst affected by the insurgency.
Ethiopia, for its part has fought a brutal counter-insurgency to restore its control over the region.
The question now is whether this process will begin to draw Sunnis away from the insurgency.
More troubling is that the Iraqi insurgency has been partly funded by oil-sector corruption.
More plausibly, Pakistani intelligence officials accuse India of fanning a burgeoning nationalist insurgency in Baluchistan.
Abdullah argued that people's dissatisfaction with the Karzai government has helped strengthen the insurgency.
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