On double reductions from symmetries and conservation laws for a damped Boussinesq equation |
| |
| Institution: | 1. Department of Mathematics & Statistics, Brock University, 500 Glenridge Avenue, St. Catharines, Ontario, L2S 3A1, Canada;2. Laboratory “Group analysis of mathematical models in natural and engineering sciences”, Ufa State Aviation Technical University, 450 000 Ufa, Russia;3. Research Centre ALGA: Advances in Lie Group Analysis, Department of Mathematics and Natural Sciences, Blekinge Institute of Technology, Karlskrona, SE-371 79, Sweden;1. Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Campus de la Muralla, 30203 Cartagena, Región de Murcia, Spain;2. Departamento de Matemáticas, Universidad de Castilla-La Mancha, Campus de Cuenca, 16071 Cuenca, Spain;3. Department of Mechanical and Industrial Engineering,\nSchool of Engineering, Southern Illinois University Edwardsville, Edwardsville, IL 62026-1805, USA;1. International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, Republic of South Africa;2. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong, 266590, China;3. Department of Mathematics and Informatics, Azerbaijan University, Jeyhun Hajibeyli str., 71, Baku, AZ1007, Azerbaijan |
| |
| Abstract: | In this work, we study a Boussinesq equation with a strong damping term from the point of view of the Lie theory. We derive the classical Lie symmetries admitted by the equation as well as the reduced ordinary differential equations. Some nontrivial conservation laws are derived by using the multipliers method. Taking into account the relationship between symmetries and conservation laws and applying the double reduction method, we obtain a direct reduction of order of the ordinary differential equations and in particular a kink solution. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
