(X, Ψ) duality and enhanced dKdV on a Riemann surface

Nuclear Physics B

Volumn 502, Issue 3, 1997, Pages 561-593

  Carroll, Robert ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Dispersionless KdV; Duality; Prepotential; Riemann surfaces

Indexed keywords

EID: 0031556439     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00385-4     Document Type: Article

References (49)

1. [1] L. Martinez-Alonso and E. Moreno, Chaos, Solitons and Fractals 5 (1995) 2213.
2. [2] A. Bloch and Y. Kodama, SIAM J. Appl. Math. 52 (1992) 909.
3. [3] G. Bonelli and M. Matone, Phys. Rev. Lett. 76 (1996) 4107.
4. [4] R. Carroll, hep-th 9607219.
5. [5] R. Carroll, hep-th 9610216.
6. [6] R. Carroll and J. Chang, solv-int 9612010, Applicable Anal. 64 (1997) 343.
7. [7] R. Carroll, solv-int 9612011, Applicable Anal., to appear.
8. [8] R. Carroll, Integrability and the Schrödinger equation, Proc. Conf. Gen. Analytic Functions, Graz, Austria, Jan. 6-10, 1997, to appear.
9. [9] R. Carroll, solv-int 9511009.
10. [10] R. Carroll, solv-int 9606005, Proc. 2nd World Congress Non-linear Analysts, Athens, 1996 (North-Holland, Amsterdam) to appear.
11. [11] R. Carroll and Y. Kodama, J. Phys. A 28 (1995) 6373.
12. [12] R. Carroll, J. Non-Lin. Sci. 4 (1994) 519-544; Teor. Mat. Fiz. 99 (1994) 220.
13. [12] R. Carroll, J. Non-Lin. Sci. 4 (1994) 519-544; Teor. Mat. Fiz. 99 (1994) 220.
14. [13] R. Carroll, Proc. NEEDS'94 (World Scientific, Singapore, 1995) pp. 24.
15. [14] R. Carroll, Applicable Anal. 49 (1993) 1-31; 56 (1995) 147.
16. [14] R. Carroll, Applicable Anal. 49 (1993) 1-31; 56 (1995) 147.
17. [15] R. Carroll, hep-th 9702138.
18. [16] R. Carroll, Rep. Math. Phys. 37 (1996) 1.
19. [17] R. Carroll, Topics in Soliton Theory (North-Holland, Amsterdam, 1991).
20. [18] R. Carroll, Proc. 1st World Congress Non-linear Analysts, Tampa, 1992 (de Gruyter, Berlin, 1996) pp. 241.
21. [19] R. Carroll, in preparation.
22. [20] J.H. Chang, Thesis, Universty of Illinois, in preparation.
23. [21] R. Donagi and E. Witten, Nucl. Phys. B 460 (1996) 299.
24. [22] B. Dubrovin, Russ. Math. Surveys 36(2) (1981) 11.
25. [23] B. Dubrovin, Lect. Notes Math. (Springer, Berlin, 1996) pp. 120.
26. [24] B. Dubrovin, Nucl. Phys. B 379 (1992) 627.
27. [25] A. Faraggi and M. Matone, Phys. Rev. Lett. 78 (1997) 163.
28. [26] A. Faraggi and M. Matone, hep-th 9705108.
29. [27] H. Flaschka, M. Forest and D. McLaughlin, Comm. Pure Appl. Math. 33 (1980) 739.
30. [28] F. Fucito, A. Gamba, M. Martellini and O. Ragnisco, Int. J. Mod. Phys. B 6 (1992) 2123.
31. [29] J. Gibbons and Y. Kodama, Singular Limits of Dispersive Waves (Plenum, New York, 1994) pp. 61.
32. [30] H. Itoyama and A. Morozov, hep-th 9511126, 9512161, and 9601168, Nucl. Phys. B 477 (1996) 855; B 491 (1997) 529.
33. [30] H. Itoyama and A. Morozov, hep-th 9511126, 9512161, and 9601168, Nucl. Phys. B 477 (1996) 855; B 491 (1997) 529.
34. [31] N. Kawamoto, Y. Namikawa, A. Tsuchiya and Y. Yamada, Commun. Math. Phys. 116 (1988) 247.
35. [32] Y. Kodama and J. Gibbons, Workshop on Non-Linear and Turbulent Processes in Physics (World Scientific, Singapore 1990) pp. 166.
36. [33] I. Krichever and D. Phong, hep-th 9604191.
37. [34] I. Krichever, Funkts. Anal. Prilozh. 22 (1988) 200.
38. [35] I. Krichever, Comm. Pure Appl. Math. 47 (1994) 437.
39. [36] I. Krichever, Acta Applicandae Math. 39 (1995) 93.
40. [37] G. Marmo and G. Vilasi, hep-th 9605191.
41. [38] V. Maslov and M. Fedoryuk, Semiclassical Approximation in Quantum Mechanics (Reidel, Dordrecht, 1981).
42. [39] V. Maslov, The Complex WKB Method for Non-Linear Equations (Birkhäuser, Basel, 1994).
43. [40] M. Matone, Phys. Lett. B 357 (1995) 342.
44. [41] T. Nakatsu and K. Takasaki, Mod. Phys. Lett. A 11 (1996) 157.
45. [42] S. Novikov, S. Manakov, L. Pitaevskij and V. Zakharov, Theory of solitons (Plenum, New York, 1984).
46. [43] L. Olavo, quant-ph 9503020, 9503021, 9503022, 9503024, 9503025, 9509012, 9509013, 9511028, 9511039, 9601002, 9607002, 9607003, 9609003, 9609023, 9703006, 9704004.
47. [44] K. Takasaki and T. Takebe, Int. J. Mod. Phys. A, Suppl. 1992, pp. 889; Rev. Math. Phys. 7 (1995) 743.
48. [44] K. Takasaki and T. Takebe, Int. J. Mod. Phys. A, Suppl. 1992, pp. 889; Rev. Math. Phys. 7 (1995) 743.
49. [45] M. Toda, Nonlinear waves and solitons (Kluwer, Dordrecht, 1989).