Exact Travelling Wave Solutions using Tanh Method for two-dimensional Stochastic Allen-Cahn equation
Numerical Analysis
2023-12-27 v2 Numerical Analysis
Abstract
Exact travelling wave solutions to the two-dimensional stochastic Allen-Cahn equation with multiplicative noise are obtained through the hyperbolic tangent (tanh) method. This technique limits the solutions to travelling wave profiles by representing them with a finite tanh power series. This study focuses on how multiplicative noise affects the dynamics of these travelling waves, in particular, occurring of wave propagation failure due to high levels of noise.
Keywords
Cite
@article{arxiv.2312.03685,
title = {Exact Travelling Wave Solutions using Tanh Method for two-dimensional Stochastic Allen-Cahn equation},
author = {Hasan Alzubaidi},
journal= {arXiv preprint arXiv:2312.03685},
year = {2023}
}
Comments
Need to be revised in section of the derivation of exact travelling wave solutions