I'm not sure what you mean exactly by the question but when the war ended, Gerald Ford was in office. Unable to get Congress support for continued funding and military involvement, Ford had to withdraw troops as South Vietnam became Communist. Before him, Nixon had tried to end the war through a number of ways: some military (increased bombing, invasion of bases in Cambodia), some economic (continued support to help the South Vietnamese take control of the anti-Communist offensive themselves), and some political (as well as Nixon's meetings with the USSR and China, Kissinger was involved with trying to secure a peace deal with the Viet Cong). A peace deal was signed in Paris in 1973 but was ignored later.
In terms of who first tried to end the war, it was LBJ who first decided the war could not be won militarily and opened a peace conference in 1968. His announcement that he would not be standing for re-election however meant that Nixon had to take over.
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In a word: No. Before WWI, Germany had devised a plan to combat the Triple Entente of Britain, France, and Russia. Their plan was called the Schlieffen Plan, after its major architecht. The plan called for a push through Belgium and Luxembourg into northern France, to knock them out of the war quickly. Then, they could focus on Russia alone. In the end, it was Russia who was knocked out of the war first.
And quick answer is that the "battle plan" is the end result, the product, of planning for a battle.
what was the celebration called that signified the end of the war
to cut off the north and the south
The Marshall Plan (European Recovery Plan) solved a so-called marketing crisis in Europe by encouraging financial stability, which solved the problem of shortages due to repressed inflation. The plan was a large-scale American program to aid Europe where the US gave monetary support to help rebuild European economies after the end of World War II.