THE SYMMETRY APPROACH TO THE CLASSIFICATION OF NON-LINEAR EQUATIONS - COMPLETE LISTS OF INTEGRABLE SYSTEMS

被引:172
作者
MIKHAILOV, AV
SHABAT, AB
YAMILOV, RI
机构
[1] LD LANDAU THEORET PHYS INST, MOSCOW, USSR
[2] ACAD SCI USSR, UFA, USSR
关键词
D O I
10.1070/RM1987v042n04ABEH001441
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
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页码:1 / 63
页数:63
相关论文
共 56 条
[1]   CONSERVED DENSITIES FOR NON-LINEAR EVOLUTION EQUATIONS .1. EVEN ORDER CASE [J].
ABELLANAS, L ;
GALINDO, A .
JOURNAL OF MATHEMATICAL PHYSICS, 1979, 20 (06) :1239-1243
[2]  
[Anonymous], [No title captured]
[3]  
[Anonymous], 1986, GAMILTONOV PODKHOD T
[4]  
BELAVIN AA, 1982, FUNCT ANAL APPL+, V16, P159
[5]  
BOROVIK AE, 1978, JETP LETT+, V28, P581
[6]  
BOROVIK AE, 1981, THESIS KHARKOV
[7]  
Calogero F, 1982, SPECTRAL TRANSFORMS
[8]   INTEGRABILITY OF NON-LINEAR HAMILTONIAN-SYSTEMS BY INVERSE SCATTERING METHOD [J].
CHEN, HH ;
LEE, YC ;
LIU, CS .
PHYSICA SCRIPTA, 1979, 20 (3-4) :490-492
[9]   ON A QUASI-LINEAR PARABOLIC EQUATION OCCURRING IN AERODYNAMICS [J].
COLE, JD .
QUARTERLY OF APPLIED MATHEMATICS, 1951, 9 (03) :225-236
[10]   PROLONGATION STRUCTURES OF COMPLEX QUASI-POLYNOMIAL EVOLUTION-EQUATIONS [J].
DODD, RK ;
FORDY, AP .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (16) :3249-3266