A generalized dispersive water waves system: Conservation laws; symmetry reduction; travelling wave solutions; symbolic computation
Abdullahi Rashid Adem, T.S. Moretlo, B. Muatjetjeja
Abstract
Symmetry analysis is applied to the generalised dispersive water waves system, which is seen in many areas of physics including fluid dynamics and particle physics. The construction of new exact solutions and similarity reductions. A multiplier technique is then used to derive conservation laws. The generalised dispersive water waves system’s solutions were also attained using the most basic techniques. An integrated generalised dispersive water wave system is constructed using the Lie group analysis technique. Solitary wave and travelling wave solutions are among the outcomes.
Topics & Concepts
Conservation lawComputationReduction (mathematics)Symmetry (geometry)Traveling waveSymbolic computationPhysicsSimilarity (geometry)MathematicsClassical mechanicsMathematical analysisComputer scienceGeometryAlgorithmImage (mathematics)Artificial intelligenceNonlinear Waves and SolitonsOcean Waves and Remote SensingNonlinear Photonic Systems