- Adler , M. and vanMoerbeke , P. 1992 . Comm. Math. Phys. , 147 : 25 – 56 . Comm. Pure Appl. Math., 47(1994), 5-37
- Martinez Alonso , L. and Moreno , E. 1995 . Chaos, solitons, and fractals , 5 : 2213 – 2237 .
- Aoyama , S. and Kodama , Y. 1994 . Mod. Phys. Lett. A , 9 : 2481 – 2492 . hep-th 9505122
- Baker , H. 1897 . Abelian functions , Cambridge Univ. Press .
- Belokolos , E. , Bobenko , A. , Enolskij , V. , Its , A. and Matveev , V. 1994 . Algebro-geometric approach to nonlinear integrable equations , Springer .
- Bilal A. hep-th 9601007
- Bloch , A. and Kodama , Y. 1992 . SIAM Jour. Appl. Math. , 52 : 909 – 928 .
- Bonelli G. Matone M. hep-th 9605090
- Carroll , R. 1991 . Topics in soliton theory , North-Holland .
- Carroll , R. 1993 . Applicable Anal. , 49 : 1 – 31 . 56 (1995), 147-164
- Carroll , R. 1995 . Proc. First World Cong. Nonlinear Analysts , Vol. 1 , 241 – 252 . Berlin : deGruyter .
- Carroll , R. and Kodama , Y. 1995 . Solution of the dispersionless Hirota equations . Jour. Phys. A , 28 : 6373 – 6387 . hep-th 9506007
- Carroll , R. 1994 . Jour. Nonlin. Sci. , 4 : 519 – 544 . Teor. Mat. Fizika, 99 (1994), 220-225
- Carroll , R. 1995 . Proc. NEEDS 94 . World Scientific , 4 : 24 – 33 .
- Carroll R. solv-int 9511009 Nauka
- Carroll R. Qi-nian Jin solv-int 9606005, Proc. Second World Congress Nonlinear Analysts Athens, North-Holland 1996 to appear
- Carroll R. hep-th 9607219, Mod. Phys. Lett. 1996 to appear
- Carroll R. Some kernels on a Riemannn surface 1996 to appear
- Carroll R. Qi-nian Jin Lecture notes on Kdv, KP, Toda, TFT, susy, integrability, Riemann surfaces, matrix models,LG and SW theories, etc., 542 pages Univ. of Illinois Urbana 1995-1996
- Carroll R. ep-th 9610216
- Cherednik I. Basic methods of solition theory World Scientific 1996
- D'Hoker E. Krichever I. Phong D. hep-th 9609041, 9609145, and 9610156
- Dijkgraaf , R. , Verlinde , H. and Verlinde , E. 1991 . Nucl. Phys. B , 352 : 59 – 86 .
- Donagi , R. and Witten , E. 1996 . Nucl. Phys. B , 460 : 299 – 334 .
- Dubrovin , B. and Novikov , S. 1989 . Russ. Math. Surv. , 44 : 35 – 124 .
- Dubrovin , B. 1983 . Dokl. Akad. Nauk. SSSR , 27 : 665 – 669 .
- Dubrovin , B. 1981 . Russ. Math. Surv. , 36 : 11 – 92 .
- Dubrovin , B. , Krichever , I. and Novikov , S. 1982 . Math. Phys. Rev. , 3 : 1 – 150 .
- Dubrovin , B. and Novikov , S. 1991 . Math. Phys. Rev. , 9 : 3 – 136 .
- Dubrovin , B. 1982 . Math. USSR. , 19 : 285 – 296 . Izvestia
- Dubrovin , B. 1995 . “ Integrable systems and quantum groups ” . In Lecture notes in math. , Vol. 1620 , 120 – 348 . Springer .
- Dubrovin , B. 1992 . Nucl. Phys. B , 379 : 627 – 689 .
- Dubrovin , B. 1992 . Comm. Math. Phys. , 145 : 195 – 207 .
- Eguchi , T. and Yang , S. 1996 . Mod. Phys. Lett. A , 11 : 131 – 138 .
- Farkas , H. and Kra , I. 1992 . Riemann surfaces , Springer .
- Fay , J. 1973 . Theta functions on Riemann surfaces . Springer Lect. Notes Math. , 352
- Flaschka , H. , Forest , M. and McLaughlin , D. 1980 . Comm. Pure Appl. Math. , 33 : 739 – 784 .
- Forster , O. 1992 . Lectures on Riemann surfaces , Springer .
- Forest , M. and McLaughlin , D. 1983 . Stud. Appl. Math. , 68 : 11 – 59 . SIAM Jour. Appl. Math., 44 (1984), 287-300
- Fucito , F. , Gamba , A. , Martellini , M. and Ragnisco , O. 1992 . Inter. Jour. Mod. Phys. B , 6 : 2123 – 2147 .
- Gibbons , J. and Kodama , Y. 1994 . Singular limits of dispersive waves , 61 – 66 . Plenum .
- Griffiths , P. 1989 . Introduction to algebraic curves , Amer. Math. Soc. .
- Grinevich , P. , Orlov , A. and Schulman , E. 1993 . Important developments in soliton theory , 283 – 301 . Springer .
- Itoyama H. Morozov A. hep-th 9511126, 9512161, and 9601168
- Kawamoto , N. , Namikawa , Y. , Tsuchiya , A. and Yamada , Y. 1988 . Comm. Math. Phys. , 116 : 247 – 308 .
- Klemm , A. , Lerche , W. and Theisen , S. 1996 . Inter. Jour. Nod. Phys. A , 11 : 1929 – 1973 .
- Kodama , Y. and Gibbons , J. 1990 . Proceedings Fourth Workshop on Nonlinear and Turbulent Processes in Physics . World Scientific , 11 : 166 – 180 .
- Kodama Y. Lecture Lyon workshop 1991 unpublished
- Kodama , Y. and Gibbons , J. 1989 . Phys. Lett. A , 135 : 167 – 170 .
- Kodama , Y. 1988 . Phys. Lett. A , 129 : 223 – 226 . Prog. Theor. Phys. Supp. 94 (1998), 184-194
- Krichever , I. 1988 . Funct. Anal. Prilozh. , 22 : 200 – 213 .
- Krichever , I. 1989 . Russ. Math. Surv. , 44 : 145 – 225 .
- Krichever , I. 1995 . Acta Math. Applicandae , 39 : 93 – 125 .
- Krichever , I. 1991 . Math. Phys. Rev. , 9 : 1 – 103 .
- Krichever , I. 1986 . Funct. Anal. Prilozh. , 20 : 203 – 214 .
- Krichever , I. 1994 . Comm. Pure Appl. Math. , 47 : 437 – 475 .
- Krichever , I. 1992 . Comm. Math. Phys. , 143 : 415 – 429 .
- Krichever I. Phong D. hep-th 9604199
- Krichever I. hep-th 9611158
- Lax , P. , Levermore , C. and Venakides , S. 1993 . Important developments in soliton theory , 205 – 241 . Springer .
- Maltsev A. solv-int 9611008
- Marshakov A. Mironov A. Morozov A. hep-th 9607109
- Martinec E. Warner N. 1996 hep-th 9509161
- Matone , M. 1995 . Phys. Lett. B , 357 : 342 – 348 . hep-th 9506181
- Matsukidaira , J. , Satsuma , J. and Strampp , W. 1990 . Jour. Math. Phys. , 31 : 1426 – 1434 .
- McLaughlin , D. 1981 . Physica 3D , 31 : 335 – 343 .
- Mumford D. Lectures on theta, 1 and 2, Birkhäuser, 1983-84
- Nakatsu T. Takasaki K. hep-th 9509162
- Novikov , S. , Manakov , S. , Pitaevskij , L. and Zakharov , V. 1984 . Theory of Solitons , Plenum .
- Seiberg , N. and Witten , E. 1994 . Nucl. Phys. B , 426 : 19 – 52 .
- Sonnenschein J. Yankielowicz S. Theisen S. hep-th 9510129
- Springer , G. 1981 . Introduction to Riemann surfaces , Chelsea .
- Takasaki K. Nakatsu T. hep-th 9603069
- TakasakI , k. and TakebE , T. 1995 . Inter. Jour. Mod. Phys. A, Supp. 1992, pp. 889-922; . Rev. Math.Phys , 7 : 743 – 808 .
- Takasaki K. Nakatsu T. hep-th 9603069
- Venakides , S. 1985 . Comm. Pure Appl. Math. , 38 : 125 – 155 . and 883-909; Trans. Amer. Math. Soc., 301 (1987), 189-226; Comm. Pure Appl. Math., 42 (1989), 711-728; Comm. Pure Appl. Math., 43 (1990), 335-361
- Verlinde , E. and Verlinde , H. 1987 . Nucl. Phys. B. , 288 : 357 – 396 .
- Whitham , G. 1974 . Linear and nonlinear waves , Wiley .
The whitham equations revisited
The whitham equations revisited
Reprints and Corporate Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
To request a reprint or corporate permissions for this article, please click on the relevant link below:
Academic Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
Obtain permissions instantly via Rightslink by clicking on the button below:
If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.
Related research
People also read lists articles that other readers of this article have read.
Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.
Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.