Discrete Negative Order Potential Korteweg-de Vries Equation

被引：3

作者：

Zhao, Song-lin ^{[1
]}

Sun, Ying-ying ^{[2
,3
]}

机构：

[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China

[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[3] Univ Sydney, Sch Math & Stat F07, Sydney, NSW 2006, Australia

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2016年 / 71卷 / 12期

关键词：

Continuum Limit; Discrete Negative Order Equation; Generalised Cauchy Matrix Approach; Solutions; PARTIAL DIFFERENCE-EQUATIONS; VARIABLE SEPARATION; KDV EQUATION; SYMMETRIES; SOLITONS;

D O I：

10.1515/zna-2016-0324

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

We investigate a discrete negative order potential Korteweg-de Vries (npKdV) equation via the generalised Cauchy matrix approach. Solutions more than multisoliton solutions of this equation are derived by solving the determining equation set. We also show the semi-discrete equation and continuous equation together with their exact solutions by considering the continuum limits.

引用

页码：1151 / 1158

页数：8

共 50 条

[1] THE DISCRETE KORTEWEG-DE VRIES EQUATION
NIJHOFF, F
CAPEL, H
[J]. ACTA APPLICANDAE MATHEMATICAE, 1995, 39 (1-3) : 133 - 158
[2] Nonlocal symmetries and similarity reductions for Korteweg-de Vries-negative-order Korteweg-de Vries equation
胡恒春
刘飞艳
[J]. Chinese Physics B, 2020, 29 (04) : 139 - 144
[3] Nonlocal symmetries and similarity reductions for Korteweg-de Vries-negative-order Korteweg-de Vries equation
Hu, Heng-Chun
Liu, Fei-Yan
[J]. CHINESE PHYSICS B, 2020, 29 (04)
[4] Integrability of reductions of the discrete Korteweg-de Vries and potential Korteweg-de Vries equations
Hone, A. N. W.
van der Kamp, P. H.
Quispel, G. R. W.
Tran, D. T.
[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2013, 469 (2154):
[5] Conservation Laws of Discrete Korteweg-de Vries Equation
Rasin, Olexandr G.
Hydon, Peter E.
[J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2005, 1
[6] KORTEWEG-DE VRIES EQUATION
SHABAT, AB
[J]. DOKLADY AKADEMII NAUK SSSR, 1973, 211 (06): : 1310 - 1313
[7] KORTEWEG-DE VRIES EQUATION
TSUTSUMI, M
[J]. PROCEEDINGS OF THE JAPAN ACADEMY, 1975, 51 (06): : 399 - 401
[8] Negative-order Korteweg-de Vries equations
Qiao, Zhijun
Fan, Engui
[J]. PHYSICAL REVIEW E, 2012, 86 (01):
[9] Boundary Stabilization of the Korteweg-de Vries Equation and the Korteweg-de Vries-Burgers Equation
Chaohua Jia
Bing-Yu Zhang
[J]. Acta Applicandae Mathematicae, 2012, 118 : 25 - 47
[10] Integration of the negative order Korteweg-de Vries equation by the inverse scattering method
Urazboev, G. U.
Baltaeva, I. I.
Ismoilov, O. B.
[J]. VESTNIK UDMURTSKOGO UNIVERSITETA-MATEMATIKA MEKHANIKA KOMPYUTERNYE NAUKI, 2023, 33 (03): : 523 - 533

← 1 2 3 4 5 →