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Group properties and conservation laws for nonlocal shallow water wave equation |
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| Authors: | Farshad RezvanEmrullah Ya?ar Teoman Özer |
| Institution: | a University of Tabriz, Faculty of Mathematical Sciences, Tabriz, Iran b Uluda? University, Faculty of Science and Art, Department of Mathematics, Bursa, Turkey c ?stanbul Technical University, Faculty of Civil Engineering, Division of Mechanics, Turkey |
| Abstract: | Symmetry groups, symmetry reductions, optimal system, conservation laws and invariant solutions of the shallow water wave equation with nonlocal term are studied. First, Lie symmetries based on the invariance criterion for nonlocal equations and the solution approach for nonlocal determining equations are found and then the reduced equations and optimal system are obtained. Finally, new conservation laws are generated and some similarity solutions for symmetry reduction forms are discussed. |
| Keywords: | Nonlocal shallow water wave equation Lie symmetries Conservation laws Symmetry reductions Optimal system Self-similar solutions |
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