Theta Function Solutions of the 3+1-Dimensional Jimbo-Miwa Equation

Su Ting; Dai Hui-Hui

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Theta Function Solutions of the 3+1-Dimensional Jimbo-Miwa Equation

机译：3 + 1维Jimbo-Miwa方程的Theta函数解

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The 3 + 1-dimensional Jimbo-Miwa equation can be written into a Hirota bilinear form by the dependent variable transformation. We give its one-periodic wave solution and two-periodic wave solution by utilizingmultidimensional elliptic T-function. With the help of the solution curves, the asymptotic properties of the periodic waves are analyzed in detail.

机译：可以通过因变量变换将3 +1维Jimbo-Miwa方程写成Hirota双线性形式。利用多维椭圆T函数给出了其一周期波解和二周期波解。借助解曲线，详细分析了周期波的渐近性质。

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来源
《Mathematical Problems in Engineering》 |2017年第6期|2924947.1-2924947.9|共9页
作者
Su Ting; Dai Hui-Hui;
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作者单位

Henan Inst Engn, Coll Sci, Zhengzhou 451191, Henan, Peoples R China;

City Univ Hong Kong, Dept Math, 83 Tat Chee Ave, Kowloon, Hong Kong, Peoples R China;

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2. A kind of explicit Riemann theta functions periodic waves solutions for discrete soliton equations [J] . Shou-fu Tian, Hong-qing Zhang Communications in Nonlinear Science and Numerical Simulation . 2011,第1期

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3. Riemann theta functions periodic wave solutions and rational characteristics for the nonlinear equations [J] . Tian S.-F., Zhang H.-Q. Journal of Mathematical Analysis and Applications . 2010,第2期

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4. Fan Sub-Equation method with Improved Algorithms for Travelling Wave Solutions of Jimbo-Miwa Equation [C] . Sheng Zhang, Aoxue Peng International Conference on Machinery, Materials and Information Technology Applications . 2015

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6. FUNCTIONAL EQUATIONS AND THETA-FUNCTIONS—I [O] . Richard Bellman 1959

机译：功能方程和θ函数
7. A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo-Miwa equation [O] . Ma, Wen-Xiu, Lee, Jyh-Hao 2009

机译：改进的有理函数方法和3 + 1的精确解维Jimbo-miwa等式

Theta Function Solutions of the 3+1-Dimensional Jimbo-Miwa Equation

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