SYMMETRY ANALYSIS AND INVARIANT SOLUTIONS OF RIABOUCHINSKY PROUDMAN JOHNSON EQUATION USING OPTIMAL SYSTEM OF LIE SUBALGEBRAS

Symmetry analysis and invariant solutions of Riabouchinsky Proudman Johnson equation using optimal system of Lie subalgebras

The Lie symmetry analysis of the Riabouchinsky Proudman Johnson (RPJ) equation is discussed in this research.In the onset, we derive the geometric vector fields using the classical Lie symmetry technique.Here, we have Sleepover Set a four-dimensional Lie algebra.A five-dimensional optimal system is then obtained utilising this four-dimensional Lie

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First Love – An Idealized Object in Music Therapy

Therapy often involves the development of an intimate therapeutic relationship between the client and the therapist.By introducing the story of Hyun in music therapy, Steamer I invite readers to discover what happens during mutual music making process and what it means to the child and the therapist.I also situate this story within a triadic relati

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A Novel Adaptive and Nonlinear Electrohydraulic Active Suspension Control System with Zero Dynamic Tire Liftoff

In this paper, a novel adaptive control system (NAC) is proposed for a restricted quarter-car electrohydraulic active suspension system.The main contribution of this NAC is its explicit tackling of the trade-off between passenger comfort/road holding and passenger comfort/suspension travel.Reducing suspension travel oscillations is another control

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The Reintroduction of Bobâlna Hill into the Tourist Circuit

Bobâlna Hill is the highest part of the Cluj and Dej Hills, an integrated part of the Someșan Plateau, with an altitude of 693 m.From a geomorphological point of view, it falls within the erosive-structural level formed on the horizon of the Dej tuff, of Lower Pannonian age.At the foot of the hill, a series of subsequent valleys developed, such a

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