Hyperelliptic loop solitons with genus g: Investigations of a quantized elastica

Journal of Geometry and Physics

Volumn 43, Issue 2-3, 2002, Pages 146-162

  Matsutani, Shigeki ^a  

^a NONE   (Japan)

Author keywords

Quantized elastica; Solitons

Indexed keywords

EID: 0036331647     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(02)00017-7     Document Type: Article

References (32)

1. Integrable deformations of the CFT on hyperelliptic surfaces
2. On the hyperelliptic sigma functions
3. On a system of differential equations leading to periodic functions
4. KdV-type equations and W-algebra
5. Klein function, hyperelliptic Jacobians and applications
6. Improved version of Klein function, hyperelliptic Jacobians and applications
7. Quasi-periodic and periodic solutions for vector nonlinear Schrödinger equations
8. The Korteweg-de Vries hierarchy as dynamics of closed curves in the plane
9. On the modified Korteweg-de Vries soliton and the loop soliton
10. Ueber hyperelliptische sigmafunctionen
11. A loop soliton propagating along a stretched rope
12. Geometrical construction of the Hirota bilinear form of the modified Korteweg-de Vries equation on a thin elastic rod: Bosonic classical theory
13. Statistical mechanics of elastica on plane: Origin of MKdV hierarchy
14. 3
15. On the moduli of a quantized elastica in ℙ and KdV flows: Study of hyperelliptic curves as an extension of Euler's
16. Closed loop solitons and sigma functions: Classical and quantized elasticas with genera one and two
17. Soliton solutions of Korteweg-de Vries equations and hyperelliptic sigma functions
18. Explicit hyperelliptic solutions of modified Korteweg-de Vries equation: Essentials of Miura transformation
19. Complex multiplication formulae for curves of genus three
20. The influence of elasticity on analysis: The classic heritage
21. Leonhrdi Euleri Opera Omnia Ser. Secunda XI: The Rational Mechanics of Flexible or Elastic Bodies 1638-1788
22. Elastica and computer vision