Periodic Wave Solution to the （3＋1）-Dimensional Boussinesq Equation 被引量：3

Periodic Wave Solution to the （3＋1）-Dimensional Boussinesq Equation

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摘要 One- and two-periodic wave solutions for （3＋l）-dimensional Boussinesq equation are presented by means of Hirota＇s bilinear method and the Riemann theta function. The soliton solution can be obtained from the periodic wave solution in an appropriate limiting procedure. One- and two-periodic wave solutions for （3＋l）-dimensional Boussinesq equation are presented by means of Hirota＇s bilinear method and the Riemann theta function. The soliton solution can be obtained from the periodic wave solution in an appropriate limiting procedure.

作者吴勇旗

机构地区 Department of Mathematics

出处《Chinese Physics Letters》 SCIE CAS CSCD 2008年第8期2739-2742,共4页 中国物理快报（英文版）

关键词 KADOMTSEV-PETVIASHVILI EQUATION ELLIPTIC FUNCTION EXPANSION KADOMTSEV-PETVIASHVILI EQUATION ELLIPTIC FUNCTION EXPANSION

分类号 O411.1 [理学—理论物理]

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参考文献27

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同被引文献13

1李正彪,戴正德.经典Boussinesq方程的新同宿轨和孤立子解[J].云南大学学报（自然科学版）,2006,28(4):285-288. 被引量：7
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2秦春艳,晋守博,任敏,李壮壮.(3+1)维Hirota双线性方程的lump解[J].兰州文理学院学报（自然科学版）,2024,38(5):1-7.
3丁李.利用F-Exp方法求(3+1)维Boussinesq方程的精确解研究[J].大理大学学报,2024,9(12):18-24.

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5ZHANG Huan,TIAN Bo,ZHANG Hai-Qiang,GENG Tao,MENG Xiang-Hua,LIU Wen-Jun,CAI Ke-Jie.Periodic Wave Solutions for(2+1)-Dimensional Boussinesq Equation and(3+1)-Dimensional Kadomtsev-Petviashvili Equation[J].Communications in Theoretical Physics,2008,50(11):1169-1176.
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8Bang-Xing Guo,Zhan-Jie Gao,Ji Lin.Various Kinds Waves and Solitons Interaction Solutions of Boussinesq Equation Describing Ultrashort Pulse in Quadratic Nonlinear Medium[J].Communications in Theoretical Physics,2016,65(12):589-594. 被引量：2
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Chinese Physics Letters

2008年第8期

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Periodic Wave Solution to the （3＋1）-Dimensional Boussinesq Equation 被引量：3

参考文献27

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