推广的(G′/G)展开法与Zhiber-Shabat方程的精确解  

Extended (G′/G) -expansion method and exact solutions for Zhiber-Shabat equation

作　　者：陈晓艳[1] 吉飞宇[1] 鱼翔[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《纯粹数学与应用数学》2012年第4期546-552,共7页Pure and Applied Mathematics

基　　金：国家自然科学基金(10671156)

摘　　要：利用推广的(G′/G)展开法,研究了Zhiber-Shabat方程的行波解,获得了其各种孤子解和周期波解,并且给出了由它得来的著名方程Liouville方程的精确解,丰富了解的范围.The exact traveling wave solutions of the Zhiber-Shabat equation are studied by using the extended（G′/G）-expansion method.Solitons and periodic solutions for it are formally derived,and then the exact traveling wave solutions of the related equations,such as Liouville equation also derived,which has enriched solutions of them.

关 键 词：推广的(G′/G)展开法 ZHIBER-SHABAT方程 LIOUVILLE方程 周期波解 

分 类 号：O175[理学—数学]