Landau-Ginzbrug-Higgs方程的新精确行波解(英文)

New exact travelling wave solutions of Landau-Ginzburg-Higgs equation

结合其次平衡法,应用G/G′展开法构造行波解,得到了Landau-Ginzbrug-Higgs方程的一些带参数的精确行波解.结果表明,此方法在数学物理中,是得到非线性偏微分方程的精确行波解的一种强有力的工具,可以应用到其他非线性发展方程.

Combined with homogeneous balance method,the（G/G′） expansion method to construct travelling wave solutions is used.Some new exact solutions with parameters of Landau-Ginzburg-Higgs equation are obtained.It is shown that this method is a powerful mathematical tool for obtaining exact travelling wave solutions of nonlinear partial differential equations in mathematical physics and can be used for many other nonlinea revolution equations.