Modified Kadomtsev-Petviashvili Equation in (3+1) Dimensions:Multiple Front-Wave Solutions  

Modified Kadomtsev-Petviashvili Equation in (3+1) Dimensions:Multiple Front-Wave Solutions

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作  者:A.M.Wazwaz XU Gui-Qiong 

机构地区:[1]Department of Mathematics,Saint Xavier University [2]Department of Information Management,College of Management,Shanghai University

出  处:《Communications in Theoretical Physics》2015年第6期727-730,共4页理论物理通讯(英文版)

摘  要:A modified Kadomtsev-Petviashvili (mKP) equation in (3+1) dimensions is presented. We reveal multiple front-waves solutions for this higher-dimensional developed equation, and multiple singular front-wave solutions as well. The constraints on the coefficients of the spatial variables, that assure the existence of these multiple front-wave solutions are investigated. We also show that this equation falls the Painleve test, and we conclude that it is not integrable in the sense of possessing the Painleve property, although it gives multiple front-wave solutions.

关 键 词:modified Kadomtsev-Petviashvili equation multiple front-waves solutions Hirota's method 

分 类 号:O175[理学—数学]

 

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