TY  - JOUR
T1  - Peakon numerical solution of Cammasa-Holm non-linear equation
A1  - Amir Hossein Parand1
A1  - Seyed Reza Mousavi2
A1  - Samira Safajoo3
JF  - specialty journal of architecture and construction
JO  - SPEC. J. ARCHIT. CONSTR.
SN  - 2412-740X
Y1  - 2016
VL  - 2
IS  - 1
SP  - 71
EP  - 76
N2  - In this paper peakon solitary waves solution of Cammasa-Holm non- linear equation obtained by numerical methods and peaked soliton solution are investigated by examining these waves interaction. The Cammassa- Holm is a non-linear third order equation because its peakon solutions has a discontinuity of derivative at its wave peak and cannot be solved using conventional numerical methods .Finite difference and Spectral methods are used to solve this equation .In finite difference method we used separated forms and upstream and downstream trick. In spectral Fourier method (by Fourier transformation), non-linear equation transform from physical space to Fourier space and in this new space becomes linear and can solve by one of common numerical methods. Eventually by inverse Fourier transformation, solutions transforms to physical space to observed. Soliton , peakon and anti peakon solutions of Cammasa- Holm equation can be illustrated as well by spectral method.
UR  - https://sciarena.com/article/peakon-numerical-solution-of-cammasa-holm-non-linear-equation
ER  -