EXACT-SOLUTIONS OF THE SINE-GORDON AND LANDAU-LIFSHITZ EQUATIONS - RATIONAL-EXPONENTIAL SOLUTIONS

被引：5

作者：

BEZMATERNIH, GV

机构：

[1] 3nstitute of Metal Physics, Ural Division, the USSR Academy of Sciences

来源：

PHYSICS LETTERS A | 1990年 / 146卷 / 09期

关键词：

D O I：

10.1016/0375-9601(90)90392-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The exact rational-exponential solutions of the two-dimensional sine-Gordon and Landau-Lifshitz equations are constructed by a method based on the formal perturbation theory. The method also may be applicable to most nonlinear equations, including multi-dimensional equations. © 1990.

引用

收藏

页码：492 / 495

页数：4

相关论文

共 14 条

[1] RATIONAL-EXPONENTIAL SOLUTIONS OF NONLINEAR EQUATIONS [J].

BEZMATERNIH, GV ;

BORISOV, AB .

LETTERS IN MATHEMATICAL PHYSICS, 1989, 18 (01) :1-8

[2]

BOGDAN MM, 1980, JETP LETT+, V31, P424

[3] MULTI-VORTEX-LIKE SOLUTIONS OF THE SINE-GORDON EQUATION [J].

BORISOV, AB ;

TANKEYEV, AP ;

SHAGALOV, AG ;

BEZMATERNIH, GV .

PHYSICS LETTERS A, 1985, 111 (1-2) :15-18

[4] WEAK-BOUNDED SOLITON-ANTISOLITON STATES IN THE DYNAMICS OF A ONE-AXIS FERROMAGNET [J].

BOROVIK, AE ;

KLAMA, S ;

KULINICH, SI .

PHYSICS LETTERS A, 1987, 120 (09) :455-458

[5]

Bullough R., 1980, SOLITONS

[6]

Hirota R., 1976, Progress of Theoretical Physics Supplement, P64, DOI 10.1143/PTPS.59.64

[7] BILINEARIZATION OF SOLITON-EQUATIONS [J].

HIROTA, R .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1982, 51 (01) :323-331

[8] ON VORTEX CONFIGURATIONS IN TWO-DIMENSIONAL SINE-GORDON SYSTEMS WITH APPLICATIONS TO PHASE-TRANSITIONS OF THE KOSTERLITZ THOULESS TYPE AND TO JOSEPHSON-JUNCTIONS [J].

HUDAK, O .

PHYSICS LETTERS A, 1982, 89 (05) :245-248

[9] SOLUTION OF INVERSE SCATTERING PROBLEM FOR KADOMTSEV-PETVIASHVILI EQUATION BY METHOD OF SEPARATION OF VARIABLES [J].

JOHNSON, RS ;

THOMPSON, S .

PHYSICS LETTERS A, 1978, 66 (04) :279-281

[10]

KOSEVICH AM, 1983, NONLINEAR WAVES MAGN