(3+1)维Potential-Yu-Toda-Sasa-Fukuyama方程新的多周期孤子解

数学物理学报 ›› 2018, Vol. 38 ›› Issue (6): 1193-1204.

(3+1)维Potential-Yu-Toda-Sasa-Fukuyama方程新的多周期孤子解

危寰^1,*(),阳连武¹,刘建国²

¹ 宜春学院数学与计算机科学学院江西宜春 336000
² 江西中医药大学计算机学院南昌 330004

收稿日期:2017-10-23 出版日期:2018-12-26 发布日期:2018-12-27
通讯作者: 危寰 E-mail:395625298@qq.com
基金资助:
国家自然科学基金(11361067);江西省教育厅科技项目(GJJ170889)

New Multiple Periodic-Soliton Solutions for the -Dimensional Potential-YTSF Equation

Huan Wei^1,*(),Lianwu Yang¹,Jianguo Liu²

¹ School of Mathematical and Computer Science, Yichun University, Jiangxi Yichun 336000
² College of Computer, Jiangxi University of Traditional Chinese Medicine, Nanchang 330004

Received:2017-10-23 Online:2018-12-26 Published:2018-12-27
Contact: Huan Wei E-mail:395625298@qq.com
Supported by:
the NSFC(11361067);the Jiangxi Provincial Department of Education(GJJ170889)

摘要/Abstract

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-Toda-Sasa-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.

关键词: Hirota双线性形式, 多孤子解, 符号计算

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.

Key words: Hirota's bilinear form, Multiple soliton solutions, Symbolic computation

中图分类号:

O175

危寰,阳连武,刘建国. (3+1)维Potential-Yu-Toda-Sasa-Fukuyama方程新的多周期孤子解[J]. 数学物理学报, 2018, 38(6): 1193-1204.

Huan Wei,Lianwu Yang,Jianguo Liu. New Multiple Periodic-Soliton Solutions for the -Dimensional Potential-YTSF Equation[J]. Acta mathematica scientia,Series A, 2018, 38(6): 1193-1204.

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