FORMATION OF SHOCK-WAVES IN KRYLOV-BOGOLIUBOV SOLUTIONS OF HYPERBOLIC PARTIAL-DIFFERENTIAL EQUATIONS

被引:9
作者
LARDNER, RW [1 ]
机构
[1] UNIV E ANGLIA,SCH MATH & PHYS,NORWICH NOR 88C,ENGLAND
关键词
D O I
10.1016/S0022-460X(75)80029-0
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
引用
收藏
页码:489 / 502
页数:14
相关论文
共 16 条
[1]  
ABRAMOWITZ M, 1965, HDB MATHEMATICAL FUN
[2]   NON-LINEAR GRAVITY WAVE INTERACTIONS [J].
BENNEY, DJ .
JOURNAL OF FLUID MECHANICS, 1962, 14 (04) :577-584
[3]  
Bogoliubov N. N., 1961, ASYMPTOTIC METHODS T
[4]  
Bojadziev G. N., 1974, International Journal of Non-Linear Mechanics, V9, P397, DOI 10.1016/0020-7462(74)90024-9
[5]  
Bojadziev G. N., 1973, International Journal of Non-Linear Mechanics, V8, P289, DOI 10.1016/0020-7462(73)90019-X
[6]   ASYMPTOTIC SOLUTIONS OF INITIAL VALUE PROBLEMS FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS [J].
KELLER, JB ;
KOGELMAN, S .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1970, 18 (04) :748-&
[7]   STROBOSCOPIC-PERTURBATION PROCEDURE FOR TREATING CLASS OF NONLINEAR WAVE EQUATIONS [J].
KRUSKAL, MD ;
ZABUSKY, NJ .
JOURNAL OF MATHEMATICAL PHYSICS, 1964, 5 (02) :231-&
[8]  
Krylov N. M., 1947, INTRO NONLINEAR MECH
[9]   RESONANT INTERACTIONS AMONG CAPILLARY-GRAVITY WAVES [J].
MCGOLDRICK, LF .
JOURNAL OF FLUID MECHANICS, 1965, 21 :305-+
[10]   PERTURBATION THEORY OF NONLINEAR BOUNDARY-VALUE PROBLEMS [J].
MILLMAN, MH ;
KELLER, JB .
JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (02) :342-&