PROLONGATION STRUCTURES OF A CLASS OF NON-LINEAR EVOLUTION EQUATIONS

被引:16
作者
DODD, RK
GIBBON, JD
机构
来源
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1978年 / 359卷 / 1699期
关键词
D O I
10.1098/rspa.1978.0049
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
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页码:411 / 433
页数:23
相关论文
共 18 条
[1]   NONLINEAR-EVOLUTION EQUATIONS OF PHYSICAL SIGNIFICANCE [J].
ABLOWITZ, MJ ;
KAUP, DJ ;
NEWELL, AC ;
SEGUR, H .
PHYSICAL REVIEW LETTERS, 1973, 31 (02) :125-127
[2]   METHOD FOR SOLVING SINE-GORDON EQUATION [J].
ABLOWITZ, MJ ;
KAUP, DJ ;
NEWELL, AC ;
SEGUR, H .
PHYSICAL REVIEW LETTERS, 1973, 30 (25) :1262-1264
[3]  
ABLOWITZ MJ, 1974, STUD APPL MATH, V53, P259
[4]   GENERAL DERIVATION OF BACKLUND TRANSFORMATIONS FROM INVERSE SCATTERING PROBLEMS [J].
CHEN, HH .
PHYSICAL REVIEW LETTERS, 1974, 33 (15) :925-928
[5]   SOLITONS, PSEUDOPOTENTIALS, AND CERTAIN LIE-ALGEBRAS [J].
CORONES, J .
JOURNAL OF MATHEMATICAL PHYSICS, 1977, 18 (01) :163-164
[6]  
CORONES J, UNPUBLISHED
[7]  
CRAMPIN M, SOLITON CONNECTION
[8]   PROLONGATION STRUCTURE OF A HIGHER-ORDER KORTEWEG-DE VRIES EQUATION [J].
DODD, RK ;
GIBBON, JD .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1978, 358 (1694) :287-296
[9]   N-SOLITON SOLUTION OF A NONLINEAR OPTICS EQUATION DERIVED BY A GENERAL INVERSE METHOD [J].
GIBBON, JD ;
CAUDREY, PJ ;
BULLOUGH, RK ;
EILBECK, JC .
LETTERE AL NUOVO CIMENTO, 1973, 8 (13) :775-779
[10]   PSEUDOPOTENTIALS OF ESTABROOK AND WAHLQUIST, GEOMETRY OF SOLITONS, AND THEORY OF CONNECTIONS [J].
HERMANN, R .
PHYSICAL REVIEW LETTERS, 1976, 36 (15) :835-836