TY  - JOUR
AB  - Even though the KdV equation can be derived by using either the approximation method of series expansion or the approximation method of harmonics expansion, in the process of symbolic manipulation there appear quadratic evolutionary models. These models appear simultaneously in the first and the second derivatives which causes contradictions in the model building. Based on this understanding, the KdV equation, established by using series expansion or harmonics expansion, needs to be restudied. Also, due to the fact that this model contains a quadratic terms of the second derivative, the analytical solution of the solitary waves can only be a special case under local conditions, whose general characteristics should contain the blown‐up problem of unintegrability. At the same time, in this paper, we consider the general characteristics of Burgers equation.
VL  - 27
IS  - 6/7
SN  - 0368-492X
DO  - 10.1108/03684929810223067
UR  - https://doi.org/10.1108/03684929810223067
AU  - OuYang Soucheng
PY  - 1998
Y1  - 1998/01/01
TI  - 4. Modeling of the KdV equation and its solution
T2  - Kybernetes
PB  - MCB UP Ltd
SP  - 656
EP  - 668
Y2  - 2024/04/19
ER  -