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Moving space curve equations and a family of coupled KdV type systems
- Source :
- Chaos, Solitons & Fractals. 15:41-46
- Publication Year :
- 2003
- Publisher :
- Elsevier BV, 2003.
-
Abstract
- It is known that the Hasimoto transformation of Heisenberg ferromagnetic system yields nonlinear Schrodinger equation. In this paper we investigate a series of moving space curve equations whose Hasimoto transformations are KdV type equations. In this paper we also propose their Lax pairs.
- Subjects :
- Series (mathematics)
General Mathematics
Applied Mathematics
Mathematical analysis
Mathematics::Analysis of PDEs
General Physics and Astronomy
Statistical and Nonlinear Physics
Type (model theory)
Space (mathematics)
symbols.namesake
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Transformation (function)
Lax pair
symbols
Korteweg–de Vries equation
Nonlinear Schrödinger equation
Mathematics
Subjects
Details
- ISSN :
- 09600779
- Volume :
- 15
- Database :
- OpenAIRE
- Journal :
- Chaos, Solitons & Fractals
- Accession number :
- edsair.doi...........45db77284fb792100f2069a31e6bb488