人们一直以来对于含五次方的一维非线性薛定谔方程的求解问题感兴趣,但是只获得了由椭圆函数和双曲函数组成的有限多个新解.为了获得含五次方的一维非线性薛定谔方程的无穷序列新解,对该方程进行了一系列变换,从而利用Riccati方程的B/(a)cklund变换和解的非线性叠加公式等相关结论,构造了含五次方的一维非线性薛定谔方程的由三角函数、双曲函数和有理函数组成的无穷序列新精确解.
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