Darboux transformation and some multi-phase solutions of the Dodd-Bullough-Tzitzeica equation: U-xt=e(U)-e(-2U)

被引:25
作者
Brezhnev, YV
机构
[1] Theoretical Physics Department, Kaliningrad State University, Kaliningrad 236041
关键词
D O I
10.1016/0375-9601(95)00955-8
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Explicit formulas for new solutions of the equation U-xt = e(u) - e(-2u) are obtained. They are expressed via the Weierstrass functions phi(x), zeta(x), sigma(x). The Darboux transformation technique is used. We also propose a superposition theorem.
引用
收藏
页码:94 / 100
页数:7
相关论文
共 17 条
[1]  
ANDREEV VA, 1989, THEOR MATH PHYS, V79, P151
[2]   ON AN OLD ARTICLE OF TZITZEICA AND THE INVERSE SCATTERING METHOD [J].
BOLDIN, AY ;
SAFIN, SS ;
SHARIPOV, RA .
JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (12) :5801-5809
[3]  
BUCHBERGER B, 1988, LECT NOTES COMPUT SC, V296, P52
[4]  
Cherdantsev I. Y., 1990, TEOR MAT FIZ, V82, P155
[5]   SOLITONS ON A FINITE-GAP BACKGROUND IN BULLOUGH-DODD-JIBER-SHABAT MODEL [J].
CHERDANTZEV, IY ;
SHARIPOV, RA .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1990, 5 (15) :3021-3027
[6]   BACKLUND TRANSFORMATIONS FOR SINE-GORDON EQUATIONS [J].
DODD, RK ;
BULLOUGH, RK .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1976, 351 (1667) :499-523
[7]  
DODD RK, 1977, P ROY SOC LOND A MAT, V352, P481, DOI 10.1098/rspa.1977.0012
[8]  
Its A. R., 1984, ZAP NAUCHN SEM LENIN, V133, P113
[9]  
JIBER AV, 1979, DOKL AKAD NAUK SSSR, V247, P1103
[10]   3RD-ORDER SPECTRAL PROBLEMS - REDUCTIONS AND DARBOUX TRANSFORMATIONS [J].
LEBLE, SB ;
USTINOV, NV .
INVERSE PROBLEMS, 1994, 10 (03) :617-633