Solitary Wave Solutions of KP equation,Cylindrical KP Equation and Spherical KP Equation

Three（2＋1）-dimensional equations–KP equation, cylindrical KP equation and spherical KP equation, have been reduced to the same Kd V equation by different transformation of variables respectively. Since the single solitary wave solution and 2-solitary wave solution of the Kd V equation have been know...

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Bibliographic Details
Published inCommunications in theoretical physics Vol. 67; no. 2; pp. 207 - 211
Main Author 李向正 张金良 王明亮
Format Journal Article
LanguageEnglish
Published 01.02.2017
Subjects
KP方程
圆柱
孤立波解
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ISSN0253-6102
DOI10.1088/0253-6102/67/2/207

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Summary:Three（2＋1）-dimensional equations–KP equation, cylindrical KP equation and spherical KP equation, have been reduced to the same Kd V equation by different transformation of variables respectively. Since the single solitary wave solution and 2-solitary wave solution of the Kd V equation have been known already, substituting the solutions of the Kd V equation into the corresponding transformation of variables respectively, the single and 2-solitary wave solutions of the three（2＋1）-dimensional equations can be obtained successfully.
Bibliography:2-Solitary wave solution KP equation cylindrical KP equation spherical KP equation transformation of variables
11-2592/O3
Xiang-Zheng Li1, Jin-Liang Zhang 1 , Ming-Liang Wang 1,2（ 1School of Mathematics and Statistcs, Henan University of Science and Technology, Luoyang 471023, China; 2School of Mathematics and Statistcs, Lanzhou University, Lanzhou 730000, China）
Three（2＋1）-dimensional equations–KP equation, cylindrical KP equation and spherical KP equation, have been reduced to the same Kd V equation by different transformation of variables respectively. Since the single solitary wave solution and 2-solitary wave solution of the Kd V equation have been known already, substituting the solutions of the Kd V equation into the corresponding transformation of variables respectively, the single and 2-solitary wave solutions of the three（2＋1）-dimensional equations can be obtained successfully.
ISSN:0253-6102
DOI:10.1088/0253-6102/67/2/207