Symplectic structures, their Bäcklund transformations and hereditary symmetries

Physica D: Nonlinear Phenomena

Volumn 4, Issue 1, 1981, Pages 47-66

  Fuchssteiner, B ^a   Fokas, A S ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 49049150360     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-2789(81)90004-X     Document Type: Article

References (24)

1. The Inverse Scattering Transform-Fourier Analysis for Nonlinear Problems
2. Deformation Theory and Quantization. I. Deformation of Symplectic Structures
3. A New Hierarchy of Korteweg-de Vries Equations
4. Group Theoretical Nature of Bäcklund Transformations
5. A symmetry approach to exactly solvable evolution equations
6. Bäcklund Transformations for Hereditary Symmetries
7. On the Structure of Symplectic Operators and Hereditary Symmetries
8. Pure Soliton Solutions of Some Nonlinear Partial Differential Equations
9. Application of Hereditary Symmetries to Nonlinear Evolution Equations
10. A Lie Algebra Structure in a Formal Variational Calculus
11. Fractional Powers of Operators and Hamiltonial Systems
12. x + 6RΨ = λΨ
13. Integrals of Nonlinear Equations of Evolution and Solitary Waves
14. Almost Periodic Solutions of the KdV Equation
15. Les Varietés de Poisson et Leurs Algébres de Lie Associées
16. A simple model of the integrable Hamiltonian equation
17. Evolution equations possessing infinitely many symmetries
18. Local Jet Bundle Formulation of Bäcklund Transformations
19. Exact Theory of Two-Dimensional Self-Focusing and One-Dimensional Self Modulation of Waves in Nonlinear Media
20. Exact Theory of Two-Dimensional Self-Focusing and One-Dimensional Self Modulation of Waves in Nonlinear Media