Numerical Simulation on the Dynamics Behavior of Non-traveling Wave Soliton to the Zhiber-Shabat Equation with Parameter Perturbation

DOI

10.2991/msbda-19.2019.29How to use a DOI?

Keywords

Zhiber-shabat equation, Lie symmetry group, Non-traveling wave solitons, Matlab numerical simulation

Abstract

Study on the parameter perturbation behavior about non-traveling wave mechanics to the Zhiber-Shabat equation by Lie symmetry group precise symbolic computation and numerical simulation technology. The Lie point symmetry group and reduced of the equations are obtained. The dynamics simulation model about local excitation parameter perturbation of non-traveling wave soliton are showed by difference scheme and the Matlab numerical calculation of symmetric reduced equation with variable coefficients. The results present the scientific connotation of the new content to the equation and indicate the effectiveness of thought which combined by the symbolic computation and numerical calculation.

Copyright

© 2019, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Zhiqiang Pu
AU  - Zhigang Pan
AU  - Xuelian Zhang
PY  - 2019/08
DA  - 2019/08
TI  - Numerical Simulation on the Dynamics Behavior of Non-traveling Wave Soliton to the Zhiber-Shabat Equation with Parameter Perturbation
BT  - Proceedings of the 2019 International Conference on Modeling, Simulation and Big Data Analysis (MSBDA 2019)
PB  - Atlantis Press
SP  - 181
EP  - 186
SN  - 2352-538X
UR  - https://doi.org/10.2991/msbda-19.2019.29
DO  - 10.2991/msbda-19.2019.29
ID  - Pu2019/08
ER  -