用tanh方法和分数子方程法求解非线性偏微分方程及含Jumarie分数阶导数的相应分数阶微分方程的解析解
综合数学
2015-09-08 v1
摘要
非线性微分方程、非线性偏微分方程和非线性分数阶微分方程的求解是应用科学中的当前研究热点。本文使用tanh方法和分数子方程法求解三个非线性微分方程及其相应的分数阶微分方程。这里的分数阶微分方程由Jumarie分数阶导数构成。两种方法均得到了解析行波解形式。我们此前未见这些方程的解在任何地方被报道过。
引用
@article{arxiv.1509.01959,
title = {Analytical solution with tanh-method and fractional sub-equation method for non-linear partial differential equations and corresponding fractional differential equation composed with Jumarie fractional derivative},
author = {Uttam Ghosh and Srijan Sengupta and Susmita Sarkar and Shantanu Das},
journal= {arXiv preprint arXiv:1509.01959},
year = {2015}
}
备注
22 pages, 6 figures, submitted to International Journal of Applied Mathematics and Statistics