TY - JOUR
ID - 4600
TI - Approximate analytical solution of the time-fractional Camassa-Holm, modified Camassa-Holm, and Degasperis-Procesi equations by homotopy perturbation method
JO - Scientia Iranica
JA - SCI
LA - en
SN - 1026-3098
AU - Gupta, P.K.
AU - Singh, M.
AU - Yildirim, A.
AD - Department of Mathematics & Statistics, Banasthali University, Banasthali-304022, India
AD - Department of Mathematics, University of Petroleum & Energy Studies, Dehradun, India.
AD - Department of Mathematics, Faculty of Science, Ege University, Bornova - 35100, Turkey
Y1 - 2016
PY - 2016
VL - 23
IS - 1
SP - 155
EP - 165
KW - Partial differential equation
KW - Nonlinear fractional Camassa-Holm equation
KW - Fractional Brownian motion
KW - Homotopy perturbation method
KW - IVPs
DO - 10.24200/sci.2016.4600
N2 - In this paper, the approximate analytical solutions of Camassa-Holm, modied Camassa-Holm, and Degasperis-Procesi equations with fractional time derivative are obtained with the help of approximate analytical method of nonlinear problem called the Homotopy Perturbation Method (HPM). By using initial condition, the explicit solution of the equation has been derived which demonstrates the eectiveness, validity, potentiality, and reliability of the method in reality. Comparing the methodology with the exact solutionshows that the present approach is very eective and powerful. The numerical calculations are carried out when the initial condition is in the form of exponential and transcendental functions; the results are depicted through graphs.
UR - http://scientiairanica.sharif.edu/article_4600.html
L1 - http://scientiairanica.sharif.edu/article_4600_c7b869ffa1048b3cc52b925e9fb1fada.pdf
ER -