Conservative Difference Scheme of Solitary Wave Solutions of the Generalized Regularized Long-Wave Equation

被引：0
作者：
Asma Rouatbi
Manel Labidi
Khaled Omrani
机构：
[1] Université de Sousse,Institut Supérieur des Sciences Appliquées et de Technologie de Sousse
来源：
Indian Journal of Pure and Applied Mathematics | 2020年 / 51卷
关键词：
GRLW equation; difference scheme; conservation; existence; uniqueness; stability; convergence; MRLW equation; solitary waves; 65M06; 65M12; 65M15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：1317 / 1342
页数：25
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