A relationship between three analytical approaches to nonlinear problems |
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| Authors: | A Yildirim H Askari M Kalami Yazdi Y Khan |
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| Institution: | 1. Department of Mathematics, Ege University, Bornova-Izmir 35100, Turkey;2. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA;3. School of Railway Engineering, Iran University of Science and Technology, Narmak, Tehran, 16846, Iran;4. School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, 16846, Iran;5. Department of Mathematics, Zhejiang University, Hangzhou 310027, China |
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| Abstract: | In this work, the relationship between three analytical techniques is demonstrated. The direct relationship between the variational approach (VA) and the Hamiltonian approach (HA) is illustrated for a first approximation, and subsequently the relationship between the variational approach and the harmonic balance method (HBM) is concluded. Moreover, the relationship between HA and VA is investigated for higher order solutions. |
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