当前位置: X-MOL 学术Indian J. Pure Appl. Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Conservative Difference Scheme of Solitary Wave Solutions of the Generalized Regularized Long-Wave Equation
Indian Journal of Pure and Applied Mathematics ( IF 0.4 ) Pub Date : 2021-01-05 , DOI: 10.1007/s13226-020-0468-7
Asma Rouatbi , Manel Labidi , Khaled Omrani

Conservative difference scheme for the nonlinear dispersive generalized regularized long-wave (GRLW) equation is proposed. Existence of its difference solutions has been shown. It is proved by the discrete energy method that the difference scheme is uniquely solvable, unconditionally stable and the convergence is of second-order in the maximum norm. The particular case known as the modified regularized long-wave (MRLW) equation is also discussed numerically in details. Furthemore, three invariants of motion are evaluated to determine the conservation properties of the problem. Interaction of two and three solitary waves are shown. Some numerical examples are given in order to validate the theoretical results.



中文翻译:

广义正则长波方程孤波解的守恒差分格式

提出了非线性色散广义正则长波方程的守恒差分格式。已经证明了其差分解的存在性。通过离散能量方法证明了差分方案是唯一可解的,是无条件稳定的,并且在最大范数下收敛是二阶的。还详细地讨论了称为修正正则化长波(MRLW)方程的特殊情况。此外,对运动的三个不变量进行了评估,以确定问题的守恒性质。显示了两个和三个孤立波的相互作用。给出一些数值例子以验证理论结果。

更新日期:2021-01-05
down
wechat
bug