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Landau-Ginzbrug-Higgs方程的新精确行波解
引用本文:周音,费琪.Landau-Ginzbrug-Higgs方程的新精确行波解[J].西北纺织工学院学报,2011(3):426-429.
作者姓名:周音  费琪
作者单位:西北大学数学系,陕西西安710069
摘    要: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.

关 键 词:Landau-Ginzbrug-Higgs方程  G/G′展开法  其次平衡原理  精确行波解

New exact travelling wave solutions of Landau-Ginzburg-Higgs equation
ZHOU Yin,FEI Qi.New exact travelling wave solutions of Landau-Ginzburg-Higgs equation[J].Journal of Northwest Institute of Textile Science and Technology,2011(3):426-429.
Authors:ZHOU Yin  FEI Qi
Affiliation:(Department of Mathematics,Northwest University,Xi′an 710069,China)
Abstract: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.
Keywords:Landau-Ginzburg-Higgs equation  (G/G′) expansion method  the homogeneous balance principle  exact travelling wave solutions
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