NONLINEAR EVOLUTION-EQUATIONS WITH NONANALYTIC DISPERSION-RELATIONS IN 2+1 DIMENSIONS - BILOCAL APPROACH

被引:3
作者
DOKTOROV, EV
机构
[1] Stepanov Inst. of Phys, Acad. of Sci.
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 10期
关键词
D O I
10.1088/0305-4470/27/10/024
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A method is proposed of obtaining (2 + 1)-dimensional nonlinear equations with nonanalytic dispersion relations. Bilocal formalism is shown to make it possible to represent these equations in a form close to that for their counterparts in 1 + 1 dimensions.
引用
收藏
页码:3491 / 3499
页数:9
相关论文
共 12 条
[1]  
Ablowitz M. J., 1981, SOLITONS INVERSE SCA
[2]   SCATTERING AND INVERSE SCATTERING FOR 1ST ORDER SYSTEMS [J].
BEALS, R ;
COIFMAN, RR .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1984, 37 (01) :39-90
[3]   LINEAR SPECTRAL PROBLEMS, NON-LINEAR EQUATIONS AND THE DELTA-BAR-METHOD [J].
BEALS, R ;
COIFMAN, RR .
INVERSE PROBLEMS, 1989, 5 (02) :87-130
[4]   THE NON-LOCAL PARTIAL-DIFFERENTIAL-EQUATION PROBLEM AND (2+1)-DIMENSIONAL SOLITON-EQUATIONS [J].
BOGDANOV, LV ;
MANAKOV, SV .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (10) :L537-L544
[5]   INTEGRABLE NON-LINEAR EVOLUTIONS IN 2+1 DIMENSIONS WITH NON-ANALYTIC DISPERSION-RELATIONS [J].
BOITI, M ;
LEON, JJP ;
MARTINA, L ;
PEMPINELLI, F .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (18) :3611-3627
[6]   OPTICAL SOLITONS IN MEDIA WITH RESONANT AND NON-RESONANT SELF-FOCUSING NONLINEARITIES [J].
DOKTOROV, EV ;
VLASOV, RA .
OPTICA ACTA, 1983, 30 (02) :223-232
[7]  
FOKAS AS, 1983, LECT NOTES PHYS, V189, P137
[8]   RECURSION OPERATORS AND BI-HAMILTONIAN STRUCTURES IN MULTIDIMENSIONS .2. [J].
FOKAS, AS ;
SANTINI, PM .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 116 (03) :449-474
[9]   BACKLUND-CALOGERO GROUP AND GENERAL-FORM OF INTEGRABLE EQUATIONS FOR THE TWO-DIMENSIONAL GELFAND-DIJIJ-ZAKHAROV-SHABAT PROBLEM - BILOCAL APPROACH [J].
KONOPELCHENKO, BG ;
DUBROVSKY, VG .
PHYSICA D, 1985, 16 (01) :79-98
[10]   NONLINEAR EVOLUTIONS WITH SINGULAR DISPERSION-LAWS AND FORCED SYSTEMS [J].
LEON, J .
PHYSICS LETTERS A, 1990, 144 (8-9) :444-452