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General Solution of Generalized (2+1)–Dimensional Kadomtsev-Petviashvili (KP) Equation by Using the –Expansion Method
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作者 Abdollah Borhanifar Reza Abazari 《American Journal of Computational Mathematics》 2011年第4期219-225,共7页
In this work, the (G,/G)- --expansion method is proposed for constructing more general exact solutions of the (2 + 1)--dimensional Kadomtsev-Petviashvili (KP) equation and its generalized forms. Our work is motivated ... In this work, the (G,/G)- --expansion method is proposed for constructing more general exact solutions of the (2 + 1)--dimensional Kadomtsev-Petviashvili (KP) equation and its generalized forms. Our work is motivated by the fact that the (G,/G)---expansion method provides not only more general forms of solutions but also periodic and solitary waves. If we set the parameters in the obtained wider set of solutions as special values, then some previously known solutions can be recovered. The method appears to be easier and faster by means of a symbolic computation system. 展开更多
关键词 (G /G)-Expansion Method generalized kadomtsev-petviashvili (kp) equation Hyperbolic Function Solutions Trigonometric Function Solutions
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(3+1)-维广义Kadomtsev-Petviashvili方程的对称约化与精确解 被引量:1
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作者 吕娜 王金芝 赵巍 《大连民族学院学报》 CAS 2014年第1期59-61,73,共4页
借助符号计算软件,利用经典李群方法对(3+1)-维广义Kadomtsev-Petviashvili(KP)方程进行对称约化,得到了5组新的(2+1)-维约化方程。基于Exp-函数展开法对约化方程进行求解,并结合相似变量得到了该方程带有任意函数的精确解。该方法对于... 借助符号计算软件,利用经典李群方法对(3+1)-维广义Kadomtsev-Petviashvili(KP)方程进行对称约化,得到了5组新的(2+1)-维约化方程。基于Exp-函数展开法对约化方程进行求解,并结合相似变量得到了该方程带有任意函数的精确解。该方法对于求解高维微分方程十分有效,并可获得丰富的精确解。 展开更多
关键词 对称约化 广义kp方程 李群方法 精确解
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