Journal
NONLINEAR DYNAMICS
Volume 77, Issue 4, Pages 1309-1322Publisher
SPRINGER
DOI: 10.1007/s11071-014-1380-7
Keywords
Homotopy analysis method; Fractional differential and integral operators; Mittag-Leffler function; Time fractional nonlinear partial differential equations
Categories
Funding
- Council of Scientific and Industrial Research (CSIR), Government of India, New Delhi
Ask authors/readers for more resources
We consider the well-known nonlinear Hirota equation (NLH) with fractional time derivative and derive its periodic wave solution and approximate analytic solitary wave solution using the homotopy analysis method (HAM). We also apply HAM to two coupled time fractional NLHs and construct their periodic wave solution and approximate solitary wave solution. We observe that the obtained periodic wave solution in both cases can be written in terms of the Mittag-Leffler function when the convergence control parameter equals . Convergence of the obtained solution is discussed. The derived approximate analytic solution and the effect of time-fractional order are shown graphically.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available