|
|
带乘性噪声的Biswas-Arshed方程的新行波解
|
Abstract:
利用多项式的完全判别法，构建了带乘性噪声的Biswas-Arshed方程的行波解。基于所提出的方法，获得了许多新的精确解，这些解包括双曲函数解、三角函数解、有理函数解、隐式解和雅克比椭圆函数解。
Biswas-Arshed Equation, Traveling Wave Solution, Multiplicative Noise, Complete Discriminant System
| [1] | Mao, X.R. and Yuan, C.G. (2006) Stochastic Differential Equations with Markovian Switching. Imperical College Press, London. https://doi.org/10.1142/p473 |
| [2] | Mijena, J.B. and Nane, E. (2015) Space-Time Fractional Stochastic Par-tial Differential Equations. Stochastic Processes and Their Applications, 125, 3301-3326. https://doi.org/10.1016/j.spa.2015.04.008 |
| [3] | Mao, X.R. (1997) Stochastic Differential Equations and Applica-tions. Horwood, Chichester. |
| [4] | Mohammed, W.E., Qahiti, R., Ahmad, H., et al. (2021) Exact Solutions for the System of Stochastic Equations for the Ion Sound and Langmuir Waves. Results in Physics, 30, 104841. https://doi.org/10.1016/j.rinp.2021.104841 |
| [5] | Kim, H., Sakthievel, R., Debbouche, A., et al. (2020) Traveling Wave Solutions of Some Important Wick-Type Fractional Stochastic Nonlinear Partial Differential Equations. Chaos, Solitons & Fractals, 131, 109542.
https://doi.org/10.1016/j.chaos.2019.109542 |
| [6] | Mohammed, W.W., Lqbal, N., Ali, A. and El-Morshedy, M. (2021) Exact Solutions of the Stochastic New Coupled Konno-Oono Equation. Results in Physics, 21, 103830. https://doi.org/10.1016/j.chaos.2019.109542 |
| [7] | Choi, J.H., Lee, D. and Kim, H. (2016) Periodic Solutions of Wick-Type Stochastic Korteweg de-Vries Equations. Pramana-Journal of Physics, 87, Article No. 55. https://doi.org/10.1007/s12043-016-1260-4 |
| [8] | Zhang, S. (2012) Exact Solutions of Wick-Type Stochastic Korteweg de-Vries Equation. Canadian Journal of Physics, 90, 181-186. https://doi.org/10.1139/p2012-002 |
| [9] | Ghany, H.A., Hyder, A.-A. and Zakarya, M. (2020) Exact Solutions of Stochastic Fractional Korteweg de-Vries Equation with Conformable Derivatives. Chinese Physics B, 29, 030203. https://doi.org/10.1088/1674-1056/ab75c9 |
| [10] | Hyder, A.-A. and Soliman, A.H. (2021) An Extended Kudryashov Technique for Solving Stochastic Nonlinear Models with Generalized Conformable Derivaties. Communications in Non-linear Science and Numerical Simulation, 97, 105730. https://doi.org/10.1016/j.cnsns.2021.105730 |
| [11] | Li, Z. (2022) Bifurcation and Traveling Wave Solution to Fractional Biswas-Arshed Equation with the Beta Time Derivative. Chaos, Solitons & Fractaks, 160, 112249. https://doi.org/10.1016/j.chaos.2022.112249 |
| [12] | Li, Z., Li, P. and Han, T.Y. (2021) White Noise Functional Solutions for Wick-Type Stochastic Fractional Mixed KdV-mKdV Equation Using Extended (G′/G)-Expansion Method. Advances in Mathematical Physics, 2021, Article ID: 9729905. https://doi.org/10.1155/2021/9729905 |
| [13] | Zayed, E.M.E., Shohib, R.M.A., Alngar, M.E.M., et al. (2022) Optical Solitons for Biswas-Arshed Equation with Multiplicative Noise via It？ Calculus Using Three Integration Algorithms. Optik, 258, 168847.
https://doi.org/10.1016/j.ijleo.2022.168847 |
