New Explicit Solutions of the Fifth-Order KdV Equation with Variable Coefficients
Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 3
Voir la notice de l'article provenant de la source BMMS
By means of the modified CK's direct method, we give out the relationship between variable coefficients of the fifth-order KdV equation and the corresponding constant coefficient ones. At the same time, we have studied the generalized fifth-order KdV equation with constants coefficients using the Lie symmetry group methods. By applying the nonclassical symmetry method we found that the analyzed model does not admit supplementary, nonclassical type, symmetries. At last, we give some exact analytic solutions by using the power series method.
Classification :
22E70, 35Q53
Gang-Wei Wang; Tian-Zhou Xu; Xi-Qiang Liu. New Explicit Solutions of the Fifth-Order KdV Equation with Variable Coefficients. Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2014_37_3_a13/
@article{BMMS_2014_37_3_a13,
author = {Gang-Wei Wang and Tian-Zhou Xu and Xi-Qiang Liu},
title = {New {Explicit} {Solutions} of the {Fifth-Order} {KdV} {Equation} with {Variable} {Coefficients}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2014},
volume = {37},
number = {3},
url = {http://geodesic.mathdoc.fr/item/BMMS_2014_37_3_a13/}
}
TY - JOUR AU - Gang-Wei Wang AU - Tian-Zhou Xu AU - Xi-Qiang Liu TI - New Explicit Solutions of the Fifth-Order KdV Equation with Variable Coefficients JO - Bulletin of the Malaysian Mathematical Society PY - 2014 VL - 37 IS - 3 UR - http://geodesic.mathdoc.fr/item/BMMS_2014_37_3_a13/ ID - BMMS_2014_37_3_a13 ER -