The main idea of this method is to take full advantage of the elliptic equation that Jacobi elliptic functions satisfy and use its solutions to replace Jacobi elliptic functions in Jacobi elliptic function method. Some illustrative equations are investigated by this means.
Alavi等人在[1]中定义了图的一种新分解,即升分解,并提出猜想:设G是星s_1,s_2,…,s_k的并图,s_i含有α_i条边,n≤α_i≤2n-2,sum form i=1 to k(α_i=),则G可升分解为星图的并。本文证明了出现下列条件之一时猜想成立。 1.α_1,α_2,…α_k中至少有k-2个α_i(1≤i≤k)相等; 2.max{α_i|i=1,2,…,k-1}-min{α_i|i=1,2,…,k-1}≤1。