The interacton equation

Physica A: Statistical Mechanics and its Applications

Volumn 228, Issue 1-4, 1996, Pages 189-211

  Fuchssteiner, Benno ^a  

^a UNIVERSITY OF PADERBORN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ASYMPTOTIC STABILITY; DYNAMICS; INTEGRATION; KINETIC THEORY; NONLINEAR EQUATIONS; NUMERICAL METHODS; VECTORS;

DIRECT SUMMAND ISOMORPHIC; DYNAMICS OF INTERACTIONS; FREE PARTICLE; INTERACTION EQUATION; LIE ALGEBRA; NONLINEAR SCHRODINGER EQUATIONS; SELF-CONSISTENT POTENTIALS; VECTOR FIELDS;

SOLITONS;

EID: 0030168902     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/0378-4371(95)00436-X     Document Type: Article

References (25)

1. M.J. Ablowitz and H. Segur, Asymptotic solutions of the Korteweg-de Vries equation, Studies in Appl. Math. 57 (1977) 13-44.
2. V.I. Arnold, Mathematical Methods of Classical Mechanics, Vol. 60 (Springer, Berlin, 1978).
3. V. Bargmann, On the connection between phase shift and scattering potentials, Rev. Mod. Phys. 21 (1949) 488-493.
4. T.B. Benjamin, Internal waves of finite amplitude and permanent form, J. Fluid Mech. 29 (1967) 559-592.
5. A.S. Fokas and B. Fuchssteiner, The hierarchy of the Benjamin-Ono equation, Phys. Lett. A 86 (1981) 341-345.
6. A.S. Fokas, Symmetries and integrability, Stud. Appl. Math. 77 (1987) 253-299.
7. B. Fuchssteiner, Application of hereditary symmetries to nonlinear evolution equations, Nonlinear Analysis TMA 3 (1979) 849-862.
8. B. Fuchssteiner, The lie algebra structure of nonlinear evolution equations admitting infinite dimensional abelian symmetry groups, Progr. Theor. Phys. 65 (1981) 861-876.
9. B. Fuchssteiner, From single solitons to auto/Bäcklund transformations and hereditary symmetries, in: Topics in Soliton Theory and Exactly solvable Nonlinear equations, M. Ablowitz, B. Fuchssteiner, M. Kruskal, eds. (World Scientific, Singapore, 1987) pp. 230-254.
10. B. Fuchssteiner, Solitons in interaction, Progress of Theoretical Physics 78 (1987) 1022-1050.
11. B. Fuchssteiner, The dynamical behavior of interacting solitons, in: Nonlinear Evolutions, J.J.P. Jerome, ed. (World Scientific, Singapore, 1988) pp. 13-32.
12. B. Fuchssteiner, Hamiltonian structure and integrability, in: Nonlinear Systems in the Applied Sciences, Mathematics in Science and Engineering, Vol. 185, C. Rogers and W.F. Ames, eds. (Academic Press, New York, 1991) pp. 211-256.
13. B. Fuchssteiner, Linear aspects in the theory of solitons and nonlinear integrable equations, J. Phys. Soc. Jpn 60 (1991) 1473-1496.
14. B. Fuchssteiner and A.S. Fokas, Symplectic structures, their Bäcklund transformations and hereditary symmetries, Physica D 4 (1981) 47-66.
15. B. Fuchssteiner and G. Oevel, Geometry and action-angle variables of multisoliton systems, Reviews in Mathematical Physics 1 (1990) 415-479.
16. B. Fuchssteiner and T. Schulze, The interacton equation for the KP, preprint (1996).
17. B. Fuchssteiner and T. Schulze, A new integrable system: The interacting soliton of the BO, Phys. Lett. A 204 (1995) 336-342.
18. E.F. Hefter and G. Papini, Nuclear matter as a nonlinear medium, II Nuovo Cimento A 91 (1986) 193-204.
19. E.F. Hefter and G. Papini, Self-energy of nuclei and real and imaginary optical potentials, Phys. Rev. C 34 (1986) L3020-L3023.
20. Y. Kodama, M.J. Ablowitz and J. Satsuma, Direct and inverse scattering problems of the nonlinear intermediate long wave equation, J. Math. Phys. 23 (1982) 564-576.
21. P.D. Lax, Integrals of nonlinear equations of evolution and solitary waves, Comm. Pure Appl. Math. 21 (1968) 467-490.
22. G. Oevel and B. Fuchssteiner, Unified approach to action-angle representation of real and complex multisolitons, Physica A 181 (1992) 364-384.
23. J.H. Ono, Algebraic solitary waves in stratified fluids, J. Phys. Soc. Japan 39 (1975) 1082-1091.
24. T. Ozawa and Y. Tsutsumi, Asymptotic behaviour of solutions for the coupled Klein-Gordon-Schrödinger equations, Adv. Stud. Pure Math., Spectral and Scattering Theory and Applications, Vol. 23 (Math. Soc. Japan, 1994) pp. 295-305.
25. P. Sabatier, Inverse Problems in Quantum Scattering Theory (Springer, Berlin, 1989).