TY - JOUR
T1 - Approximate analytic solutions of the modified Kawahara equation with homotopy analysis method
AU - Kurulay, Muhammet
PY - 2012
Y1 - 2012
N2 - In this paper, we applied the homotopy analysis method (HAM) to solve the modified Kawahara equation. Numerical results demonstrate that the methods provide efficient approaches to solving the modified Kawahara equation. It is shown that the method, with the help of symbolic computation, is very effective and powerful for discrete nonlinear evolution equations in mathematical physics.
AB - In this paper, we applied the homotopy analysis method (HAM) to solve the modified Kawahara equation. Numerical results demonstrate that the methods provide efficient approaches to solving the modified Kawahara equation. It is shown that the method, with the help of symbolic computation, is very effective and powerful for discrete nonlinear evolution equations in mathematical physics.
KW - homotopy analysis method
KW - the modified Kawahara equation
UR - http://www.scopus.com/inward/record.url?scp=84873365249&partnerID=8YFLogxK
U2 - 10.1186/1687-1847-2012-178
DO - 10.1186/1687-1847-2012-178
M3 - Article
AN - SCOPUS:84873365249
SN - 1687-1839
VL - 2012
JO - Advances in Difference Equations
JF - Advances in Difference Equations
M1 - 178
ER -