Open AccessSTABILITY OF SOLITARY WAVE FOR THE KdV TYPE EQUATIONAND TRAVELLING WAVE FOR THE KdV-BURGERS TYPE EQUATION
Author(s) -
Zuo-g Zhu
Publication year - 1996
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.45.1087
Subject(s) - korteweg–de vries equation , type (biology) , traveling wave , burgers' equation , physics , mathematical analysis , mathematical physics , mathematics , classical mechanics , partial differential equation , nonlinear system , quantum mechanics , geology , paleontology
In this paper, it is shown that solitary wave for the KdV type equation and travelling wave for the KdV-Burgers type equation are unstable in the Liapunov sense . Some incorrect conclusions in literatures are corrected.