【摘要】 基于一个辅助的Lame方程和摄动法,研究了Landan-Ginzburg-Higgs方程,得到了该方程的新的Jacobi椭圆函数形式的高阶渐进周期解.在极限情形下,可还原为经典的孤立波解.更多还原

【Abstract】 Based on an auxiliary Lame equation and a perturbation method,the Landau-Ginzburg-Higgs equation is investigated.The asymptotic higher-order periodic solutions in terms of Jacobi elliptic functions to this equation are explicitly obtained with the aid of symbolic computation.Some of them are novel.At the case of limitation,the periodic solutions give corresponding solitary wave solutions.更多还原