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A Note on the Transformation of Variables of KP Equation, Cylindrical KP Equation and Spherical KP Equation

A Note on the Transformation of Variables of KP Equation, Cylindrical KP Equation and Spherical KP Equation
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摘要 In a recent article(Commun. Theor. Phys. 67(2017) 207), three(2+1)-dimensional equations — KP equation, cylindrical KP equation and spherical KP equation, have been reduced to the same Kd V equation by using different transformation of variables, respectively. In this short note, by adding an adjustment item to original transformation, three more general transformation of variables corresponding to above three equations have been given.Substituting the solutions of the Kd V equation into our transformation of variables, more new exact solutions of the three(2+1)-dimensional equations can be obtained. In a recent article(Commun. Theor. Phys. 67(2017) 207), three(2+1)-dimensional equations — KP equation, cylindrical KP equation and spherical KP equation, have been reduced to the same Kd V equation by using different transformation of variables, respectively. In this short note, by adding an adjustment item to original transformation, three more general transformation of variables corresponding to above three equations have been given.Substituting the solutions of the Kd V equation into our transformation of variables, more new exact solutions of the three(2+1)-dimensional equations can be obtained.
作者 刘春平 Chun-Ping Liu(Institute of Mathematics,Yangzhou University,Yangzhou 225002,China)
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2019年第2期170-174,共5页 理论物理通讯(英文版)
基金 Supported by the National Natural Science Foundation of China under Grant No.11771381
关键词 transformation of VARIABLES KP EQUATION CYLINDRICAL KP EQUATION SPHERICAL KP EQUATION transformation of variables KP equation cylindrical KP equation spherical KP equation
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