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Nonlocal symmetry and soliton–cnoidal wave solutions of the Bogoyavlenskii coupled KdV system
- Source :
- Applied Mathematics Letters. 51:20-26
- Publication Year :
- 2016
- Publisher :
- Elsevier BV, 2016.
-
Abstract
- The truncated Painleve expansion is developed to construct Backlund transformations and nonlocal symmetries of the Bogoyavlenskii coupled KdV (BcKdV) system. The Schwarzian form of BcKdV system is found while the nonlocal symmetry is localized to offer the corresponding nonlocal group. Furthermore, the BcKdV system is verified to have a consistent Riccati expansion (CRE). Stemming from the consistent tan-function expansion (CTE), which is a special form of CRE, the soliton–cnoidal wave solutions are explicitly studied.
- Subjects :
- Group (mathematics)
Applied Mathematics
Cnoidal wave
01 natural sciences
Symmetry (physics)
010305 fluids & plasmas
Nonlinear Sciences::Exactly Solvable and Integrable Systems
0103 physical sciences
Homogeneous space
Soliton
010306 general physics
Korteweg–de Vries equation
Nonlinear Sciences::Pattern Formation and Solitons
Mathematical physics
Mathematics
Subjects
Details
- ISSN :
- 08939659
- Volume :
- 51
- Database :
- OpenAIRE
- Journal :
- Applied Mathematics Letters
- Accession number :
- edsair.doi...........87ae313c15ab10c3bafe314ceacf3767