WHO CARES ABOUT INTEGRABILITY

被引:9
作者
SEGUR, H
机构
[1] Program in Applied Mathematics, University of Colorado, Boulder
基金
美国国家科学基金会;
关键词
D O I
10.1016/0167-2789(91)90244-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Problems that admit solitons and are completely integrable have been analyzed in detail since their discovery by Zabusky and Kruskal 25 years ago. Their study has influenced the development of both mathematics and physics during that time. The questions addressed here are: (i) Has this subject run its natural course? (ii) Will it significantly influence the nonlinear science that develops over the next decade? Supporting examples will be chosen from several disciplines, but especially from the study of water waves.
引用
收藏
页码:343 / 359
页数:17
相关论文
共 37 条
[1]  
Ablowitz M. J., 1981, SOLITONS INVERSE SCA
[2]  
ABLOWITZ MJ, 1983, STUD APPL MATH, V69, P135
[3]  
BLAHA R, 1990, SEMICLASSICAL ACOUST
[4]   SOLITARY-WAVE INTERACTION [J].
BONA, JL ;
PRITCHARD, WG ;
SCOTT, LR .
PHYSICS OF FLUIDS, 1980, 23 (03) :438-441
[5]   EXACTLY SOLVABLE FIELD-THEORIES OF CLOSED STRINGS [J].
BREZIN, E ;
KAZAKOV, VA .
PHYSICS LETTERS B, 1990, 236 (02) :144-150
[6]   SCATTERING-THEORY FOR THE KORTEWEG-DE VRIES (KDV) EQUATION AND ITS HAMILTONIAN INTERPRETATION [J].
BUSLAEV, VS ;
FADDEEV, LD ;
TAKHTAJAN, LA .
PHYSICA D-NONLINEAR PHENOMENA, 1986, 18 (1-3) :255-266
[7]  
CHAU LL, 1990, INTEGRABLE SYSTEMS
[8]  
COHEN A, 1979, ARCH RATION MECH AN, V71, P143, DOI 10.1007/BF00248725
[9]   INVERSE SCATTERING ON THE LINE [J].
DEIFT, P ;
TRUBOWITZ, E .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1979, 32 (02) :121-251
[10]   STRINGS IN LESS THAN ONE DIMENSION [J].
DOUGLAS, MR ;
SHENKER, SH .
NUCLEAR PHYSICS B, 1990, 335 (03) :635-654