SHOCK-WAVES IN ONE-DIMENSIONAL MODELS WITH CUBIC NONLINEARITY

被引:2
作者
BIKBAEV, RF
机构
关键词
D O I
10.1007/BF01016869
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Shock waves are described qualitatively for a class of one-dimensional models with cubic nonlinearity (of the type of the modified Korteweg-de Vries equation): u(t)-6u2u(x) + gammau(xxx) = nuu(xx). Both the integrable and the nonintegrable case are considered. The behavior of a shock wave in the limit t-->infinity is considered.
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页码:1236 / 1249
页数:14
相关论文
共 19 条
[1]   STRUCTURE OF A SHOCK-WAVE IN THE THEORY OF THE KORTEWEG-DEVRIES EQUATION [J].
BIKBAEV, RF .
PHYSICS LETTERS A, 1989, 141 (5-6) :289-293
[2]  
BIKBAEV RF, 1990, ALGEBR ANAL, V2, P131
[3]  
BIKBAEV RF, 1990, ZAP NAUCHN SEMIN LOM, V180, P23
[4]  
BIKBAEV RF, 1989, MATH NOTES+, V45, P3
[5]  
BIKBAEV RF, 1992, ZAP NAUCHN SEMIN LOM, V199, P33
[6]  
Bikbaev RF, 1985, TEOR MAT FIZ, V63, P377
[7]  
BIKBAEV RF, 1990, ALGEBRA ANAL, V5
[8]  
BIKBAEV RF, 1992, ZAP NAUCHN SEMIN LOM, V199, P20
[9]   FORMATION OF SHOCKLIKE MODIFIED KORTEWEG-DEVRIES SOLITONS - APPLICATION TO DOUBLE-LAYERS [J].
CHANTEUR, G ;
RAADU, M .
PHYSICS OF FLUIDS, 1987, 30 (09) :2708-2719
[10]  
FEYNMAN RP, 1971, LECTURES STATISTICAL