Peakons of Novikov Equation via the Homotopy Analysis Method
نویسندگان
چکیده
The problem of the peakon and antipeakon solutions Novikov equation including term ωux is studied. It well known that, when ω=0, admits solutions. In this study, it shown via homotopy analysis method even in case where ω≠0, also
منابع مشابه
Bifurcation of Peakons and Cuspons of the Integrable Novikov Equation
By applying the bifurcation theory of dynamical systems to the Novikov equation, a new feature of non-smooth traveling wave solutions, two peakons or two cuspons that coexist for the same wave speed, is put forward. It is shown that 0 = g is the peakon bifurcation value in the process of obtaining the bifurcation of phase portraits, where g is a certain integration constant. In particular, we o...
متن کاملThe comparison of optimal homotopy asymptotic method and homotopy perturbation method to solve Fisher equation
In recent years, numerous approaches have been applied for finding the solutions of functional equations. One of them is the optimal homotopy asymptotic method. In current paper, this method has been applied for obtaining the approximate solution of Fisher equation. The reliability of the method will be shown by solving some examples of various kinds and comparing the obtained outcomes with the ...
متن کاملA note on the convergence of the Zakharov-Kuznetsov equation by homotopy analysis method
In this paper, the convergence of Zakharov-Kuznetsov (ZK) equation by homotopy analysis method (HAM) is investigated. A theorem is proved to guarantee the convergence of HAM and to nd the series solution of this equation via a reliable algorithm.
متن کاملOn convergence of homotopy analysis method to solve the Schrodinger equation with a power law nonlinearity
In this paper, the homotopy analysis method (HAM) is considered to obtain the solution of the Schrodinger equation with a power law nonlinearity. For this purpose, a theorem is proved to show the convergence of the series solution obtained from the proposed method. Also, an example is solved to illustrate the eciency of the mentioned algorithm and the h-curve is plotted to determine the region ...
متن کاملHomotopy Perturbation Method for the Generalized Fisher’s Equation
More recently, Wazwaz [An analytic study of Fisher’s equation by using Adomian decomposition method, Appl. Math. Comput. 154 (2004) 609–620] employed the Adomian decomposition method (ADM) to obtain exact solutions to Fisher’s equation and to a nonlinear diffusion equation of the Fisher type. In this paper, He’s homotopy perturbation method is employed for the generalized Fisher’s equation to o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Symmetry
سال: 2021
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym13050738