TY - JOUR
T1 - Multi-Symplectic Fourier Pseudospectral Method for the Kawahara Equation
JO - Communications in Computational Physics
VL - 1
SP - 35
EP - 55
PY - 2014
DA - 2014/07
SN - 16
DO - http://doi.org/10.4208/cicp.090313.041113a
UR - https://global-sci.org/intro/article_detail/cicp/7032.html
KW - 
AB - <p style="text-align: justify;">In this paper, we derive a multi-symplectic Fourier pseudospectral scheme
for the Kawahara equation with special attention to the relationship between the spectral differentiation matrix and discrete Fourier transform. The relationship is crucial for
implementing the scheme efficiently. By using the relationship, we can apply the Fast
Fourier transform to solve the Kawahara equation. The effectiveness of the proposed
methods will be demonstrated by a number of numerical examples. The numerical
results also confirm that the global energy and momentum are well preserved.</p>