Open AccessCONDITIONAL STABILITY OF THE GENERAL KdV SOLITON SOLUTION AND KdV-BURGERS TRAVELING WAVE SOLUTION
Author(s) -
LI CHAO-HONG
Publication year - 1998
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.47.1409
Subject(s) - korteweg–de vries equation , traveling wave , soliton , stability (learning theory) , physics , mathematical physics , mathematics , mathematical analysis , computer science , nonlinear system , quantum mechanics , machine learning
For a general KdV soliton solution and a general KdV-Burgers traveling wave solution,the direct perturbation method is used to construct their general perturbed corrections.Theoretical analysis reveals that the solution possesses conditional stability,namely,their stability depends sensitively on the physical parameters and initial conditions of the corresponding system.The results have extended and corrected some assertions of instability in the recent articles.