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(3+1)维Potential-Yu-Toda-Sasa-Fukuyama方程新的多周期孤子解
New Multiple Periodic-Soliton Solutions for the(3+1)-Dimensional Potential-YTSF Equation
【摘要】 该文利用Hirota双线性形式和广义三波测试法构建了(3+1)维Potential-Yu-TodaSasa-Fukuyama方程新的多周期孤子解.其中有一些完全新的周期孤子解,包括周期性交叉扭结波解、周期性双孤立波解和呼吸型双孤立波解.借助于符号计算,呼吸子和孤子的相互作用及传播特点被一些图形展示出来.
【Abstract】 By using the Hirota’s bilinear form and generalized three-wave approach, we construct multiple periodic-soliton solutions of(3+1)-dimensional potential-YTSF equation. Some entirely new periodic-soliton solutions are presented including periodic cross-kink wave, periodic two-solitary wave and breather type of two-solitary wave solutions. With the aid of symbolic computation, propagation characteristics and interactions of breathers and solitons are shown with some figures.
【关键词】 Hirota双线性形式;
多孤子解;
符号计算;
【Key words】 Hirota’s bilinear form; Multiple soliton solutions; Symbolic computation;
【Key words】 Hirota’s bilinear form; Multiple soliton solutions; Symbolic computation;
【基金】 国家自然科学基金(11361067);江西省教育厅科技项目(GJJ170889)~~
- 【文献出处】 数学物理学报 ,Acta Mathematica Scientia , 编辑部邮箱 ,2018年06期
- 【分类号】O175.29
- 【被引频次】2
- 【下载频次】64