Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 401-408 |
| Number of pages | 9 |
| Journal | Numerical Methods for Partial Differential Equations |
| Volume | 25 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2009 |
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Keywords
- short-pulse equation
- homotopy analysis method
- solitary-wave solution
- series solution
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Finding the one-loop soliton solution of the short-pulse equation by means of the homotopy analysis method. / Parkes, E.J.; Abbasbandy, S.
In: Numerical Methods for Partial Differential Equations, Vol. 25, No. 2, 2009, p. 401-408.Research output: Contribution to journal › Article
TY - JOUR
T1 - Finding the one-loop soliton solution of the short-pulse equation by means of the homotopy analysis method
AU - Parkes, E.J.
AU - Abbasbandy, S.
PY - 2009
Y1 - 2009
N2 - The homotopy analysis method is applied to the short-pulse equation in order to find an analytic approximation to the known exact solitary upright-loop solution. It is demonstrated that the approximate solution agrees well with the exact solution. This provides further evidence that the homotopy analysis method is a powerful tool for finding excellent approximations to nonlinear solitary waves.
AB - The homotopy analysis method is applied to the short-pulse equation in order to find an analytic approximation to the known exact solitary upright-loop solution. It is demonstrated that the approximate solution agrees well with the exact solution. This provides further evidence that the homotopy analysis method is a powerful tool for finding excellent approximations to nonlinear solitary waves.
KW - short-pulse equation
KW - homotopy analysis method
KW - solitary-wave solution
KW - series solution
U2 - 10.1002/num.20348
DO - 10.1002/num.20348
M3 - Article
VL - 25
SP - 401
EP - 408
JO - Numerical Methods for Partial Differential Equations
JF - Numerical Methods for Partial Differential Equations
SN - 0749-159X
IS - 2
ER -