A note on “Lattice soliton equation hierarchy and associated properties”

doi:10.1088/1674-1056/28/1/010202

中国物理B ›› 2019, Vol. 28 ›› Issue (1): 10202-010202.doi: 10.1088/1674-1056/28/1/010202

A note on “Lattice soliton equation hierarchy and associated properties”

Xi-Xiang Xu(徐西祥), Min Guo(郭敏)

College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China

收稿日期:2018-08-21 修回日期:2018-11-01 出版日期:2019-01-05 发布日期:2019-01-05
通讯作者: Xi-Xiang Xu E-mail:xixiang_xu@sohu.com
基金资助:
Project supported by the Natural Science Foundation of Shandong Province of China (Grant No. ZR2014AM001).

A note on “Lattice soliton equation hierarchy and associated properties”

Xi-Xiang Xu(徐西祥), Min Guo(郭敏)

College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China

Received:2018-08-21 Revised:2018-11-01 Online:2019-01-05 Published:2019-01-05
Contact: Xi-Xiang Xu E-mail:xixiang_xu@sohu.com
Supported by:
Project supported by the Natural Science Foundation of Shandong Province of China (Grant No. ZR2014AM001).

摘要/Abstract

摘要：

We demonstrate that the new hierarchy of integrable lattice equations in Chin. Phys. B 21 090202 (2012) can be changed into the integrable lattice hierarchy in Chin. Phys. B 13 1009 (2004) by using a very simple transformation.

关键词: integrable lattice hierarchy, transformation between potentials, discrete zero curvature equation, Lax pair

Abstract:

Key words: integrable lattice hierarchy, transformation between potentials, discrete zero curvature equation, Lax pair

中图分类号: (Integrable systems)

02.30.Ik

徐西祥, 郭敏. A note on “Lattice soliton equation hierarchy and associated properties”[J]. 中国物理B, 2019, 28(1): 10202-010202.

Xi-Xiang Xu(徐西祥), Min Guo(郭敏). A note on “Lattice soliton equation hierarchy and associated properties”[J]. Chin. Phys. B, 2019, 28(1): 10202-010202.

[1]	Zheng X Q and Liu J Y 2012 Chin. Phys. B 21 090202 doi: 10.1088/1674-1056/21/9/090202
[2]	Ding H Y, Xu X X and Z X D 2004 Chin. Phys. B 13 125 doi: 10.1088/1009-1963/13/2/001
[3]	Ma W X and Zhou Y 2018 J. Differ. Equations 264 2633 doi: 10.1016/j.jde.2017.10.033
[4]	Chen S T and Ma W X 2018 Front. Math. China 13 525 doi: 10.1007/s11464-018-0694-z
[5]	Ma W X 2018 J. Geom. Phys. 133 45
[6]	Yang J Y, Ma W X and Qin Z Y 2018 Anal. Math. Phys. 8 42

[1]	Yarong Xia(夏亚荣), Ruoxia Yao(姚若侠), and Xiangpeng Xin(辛祥鹏). Darboux transformation and soliton solutions of a nonlocal Hirota equation[J]. 中国物理B, 2022, 31(2): 20401-020401.
[2]	楼森岳. A novel (2+1)-dimensional integrable KdV equation with peculiar solution structures[J]. 中国物理B, 2020, 29(8): 80502-080502.
[3]	杜仲, 田播, 屈启兴, 赵学慧. Lax pair and vector semi-rational nonautonomous rogue waves for a coupled time-dependent coefficient fourth-order nonlinear Schrödinger system in an inhomogeneous optical fiber[J]. 中国物理B, 2020, 29(3): 30202-030202.
[4]	刘汉泽, 张丽香. Integrability classification and exact solutions to generalized variable-coefficient nonlinear evolution equation[J]. 中国物理B, 2018, 27(4): 40202-040202.
[5]	农丽娟, 张大军. Non-autonomous discrete Boussinesq equation：Solutions and consistency[J]. , 2014, 23(7): 70202-070202.
[6]	杨云青, 王云虎, 李昕, 程雪苹. Riccati-type Bäcklund transformations of nonisospectral and generalized variable-coefficient KdV equations[J]. 中国物理B, 2014, 23(3): 30506-030506.
[7]	陶勇胜, 贺劲松, K. Porsezian. Deformed soliton, breather, and rogue wave solutions of an inhomogeneous nonlinear Schrödinger equation[J]. 中国物理B, 2013, 22(7): 74210-074210.
[8]	王云虎, 陈勇. Integrability of extended (2+1)-dimensional shallow water wave equation with Bell polynomials[J]. 中国物理B, 2013, 22(5): 50509-050509.
[9]	张翼, 魏薇薇, 程腾飞, 宋洋. Binary Bell polynomial application in generalized (2+1)-dimensional KdV equation with variable coefficients[J]. 中国物理B, 2011, 20(11): 110204-110204.
[10]	杨云青, 陈勇. Prolongation structure of the variable coefficient KdV equation[J]. 中国物理B, 2011, 20(1): 10206-010206.
[11]	马红彩, 楼森岳. Finite symmetry transformation groups and exact solutions of Lax integrable systems[J]. 中国物理B, 2005, 14(8): 1495-1500.
[12]	陈凯, 侯伯宇, 杨文力. THE LAX PAIR FOR C₂-TYPE RUIJSENAARS-SCHNEIDER MODEL[J]. 中国物理B, 2001, 10(6): 550-554.

A note on “Lattice soliton equation hierarchy and associated properties”

A note on “Lattice soliton equation hierarchy and associated properties”

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 6

相关文章 12

Metrics

本文评价

推荐阅读 0