2018
DOI: 10.1016/j.jmaa.2017.10.046
|View full text |Cite
|
Sign up to set email alerts
|

A discrete generalized coupled dispersionless integrable system and its multisoliton solutions

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1

Citation Types

0
2
0
1

Year Published

2018
2018
2024
2024

Publication Types

Select...
6

Relationship

0
6

Authors

Journals

citations
Cited by 10 publications
(3 citation statements)
references
References 24 publications
0
2
0
1
Order By: Relevance
“…As we reduced the matrix CD system (1.1) into the usual CD system (1.2)-(1.3), sine-Gordon equation (1.4) and Maxwell-Bloch system (1.5), therefore, the matrix CD system can be regarded as a generalization of these equations. The Darboux/Bäcklund transformations for these equations have been studied in various references, such as [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. The present work deals with the matrix CD system, DT and some exact solutions.…”
Section: |mentioning
confidence: 99%
See 1 more Smart Citation
“…As we reduced the matrix CD system (1.1) into the usual CD system (1.2)-(1.3), sine-Gordon equation (1.4) and Maxwell-Bloch system (1.5), therefore, the matrix CD system can be regarded as a generalization of these equations. The Darboux/Bäcklund transformations for these equations have been studied in various references, such as [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. The present work deals with the matrix CD system, DT and some exact solutions.…”
Section: |mentioning
confidence: 99%
“…the inverse scattering method [12], Painlevé analysis technique [12], Bäcklund transformation [13], algebraic geometry method [14], Darboux transformation (DT) [15] and Hirotaʼs bilinear method [16]. Among the list, DT is one of the methods used to construct various exact solutions, including bright and dark soliton solutions, periodic solutions, breather solutions and rogue wave solutions [17][18][19][20][21][22].…”
Section: Introductionmentioning
confidence: 99%
“…С помощью метода ПД успешно изучались различные интегрируемые уравнения и были рассчитаны солитонные решения. Полученные в работах [9]- [14] решения выражаются через вронскианы, квазиопределители Грама и квазидетерминанты.…”
Section: Introductionunclassified