Geodesic
The Harry Dym equation on the complex plane: inverse spectral transform and exact solutions
Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 337-344 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{TMF_1994_99_2_a21,
     author = {Boris G. Konopelchenko and Jyh-Hao Lee},
     title = {The {Harry} {Dym} equation on the complex plane: inverse spectral transform and exact solutions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {337--344},
     year = {1994},
     volume = {99},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a21/}
}
TY  - JOUR
AU  - Boris G. Konopelchenko
AU  - Jyh-Hao Lee
TI  - The Harry Dym equation on the complex plane: inverse spectral transform and exact solutions
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1994
SP  - 337
EP  - 344
VL  - 99
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a21/
LA  - en
ID  - TMF_1994_99_2_a21
ER  - 
%0 Journal Article
%A Boris G. Konopelchenko
%A Jyh-Hao Lee
%T The Harry Dym equation on the complex plane: inverse spectral transform and exact solutions
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1994
%P 337-344
%V 99
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a21/
%G en
%F TMF_1994_99_2_a21
Boris G. Konopelchenko; Jyh-Hao Lee. The Harry Dym equation on the complex plane: inverse spectral transform and exact solutions. Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 2, pp. 337-344. http://geodesic.mathdoc.fr/item/TMF_1994_99_2_a21/

[1] M. D. Kruskal, Lecture Notes in Physics, 38, Springer, Berlin, 1975, 310 | DOI | MR

[2] P. C. Sabatier, “On some spectral problems and isospectral evolutions connected with the classical string problem. I. Constants of motion”, Lett. Nuovo Cimento (2), 26:15 (1979), 477–482 ; “II. Evolution equation”, 483–486 ; P. C. Sabatier, Lecture Notes in Physics, 120, eds. M. Boiti, F. Pempinelli, G. Soliani, Springer, Berlin, 1980, 85 | DOI | MR | Zbl | MR | Zbl | DOI | MR

[3] F. Calogero, A. Degasperis, Spectral transform and solitons, North Holland, Amsterdam, 1982 | MR | Zbl

[4] W. Hereman, P. P. Banerjee, M. R. Chatterjee, J. Phys A: Math. Gen., 22 (1989), 249 | DOI | MR

[5] M. Wadati, Y. H. Ichikawa, T. Shimizu, Prog. Theor. Phys., 64 (1980) | DOI | MR | Zbl

[6] B. G. Konopelchenko, V. G. Dubrovsky, Phys. Lett. A, 102 (1984), 15 | DOI | MR

[7] L. P. Kadanoff, Phys. Rev. Lett., 65 (1990), 2986 | DOI

[8] P. Constantin, L. Kadanoff, Physica D, 47 (1991), 450 | DOI | MR | Zbl

[9] G. L. Vasconcelos, L. P. Kadanoff, Phys. Rev. A, 44 (1991), 6490 | DOI

[10] S. D. Howison, Euro. J. of Applied Math., 3 (1992), 209 | DOI | MR | Zbl

[11] R. E. Goldstein, D. M. Petrich, Phys. Rev. Lett., 67 (1991), 3203 | DOI | MR | Zbl

[12] R. Beals, R. R. Coifman, Seminaire Goulanouic-Meyer-Schwatz (1980–1981), 1981–1982, exp.22 | MR

[13] M. J. Ablowitz, D. Bar Yaacov, A. S. Fokas, Stud. Appl. Math., 69 (1983), 135 | DOI | MR | Zbl

[14] A. S. Fokas, M. Y. Ablowitz, Lecture Notes in Physics, 189, ed. K. B. Wolf, Springer, Berlin, 1983, 137 | DOI | MR

[15] R. Beals, R. Coifman, Inverse problems, 5 (1989), 87 | DOI | MR | Zbl

[16] M. G. Ablowitz, P. A. Clarkson, Solitons, nonlinear evolution equations and inverse scattering, Cambridge University Press, Cambridge, 1991 | MR | Zbl

[17] B. G. Konopelchenko, Introduction to multidimensional integrable equations, Plenum Press, New York, 1992 | MR | Zbl

[18] V. E. Zakharov, S. V. Manakov, Funct. Analysis i Prilozhen., 19:2 (1985), 11 | MR | Zbl

[19] L. V. Bogdanov, S. V. Manakov, J. Phys. A: Math. Gen., 21 (1988), L537 | DOI | MR | Zbl

[20] V. E. Zakharov, Inverse methods in action, ed. P. C. Sabatier, Springer, Berlin, 1990, 602 | DOI | MR

[21] A. S. Fokas, V. E. Zakharov, Journ. of Nonlinear Sciences, 2 (1992), 109 | DOI | MR | Zbl

[22] B. G. Konopelchenko, Solitons in multidimensions, World Scientific, Singapore, 1993 | MR | Zbl