Yildirim, A.Askari, H.Yazdi, M. KalamiKhan, Y.2019-10-272019-10-2720120893-96590893-9659https://doi.org/10.1016/j.aml.2012.02.001https://hdl.handle.net/11454/46455In 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. (C) 2012 Elsevier Ltd. All rights reserved.en10.1016/j.aml.2012.02.001info:eu-repo/semantics/openAccessHamiltonian approachVariation approachHarmonic balance methodA relationship between three analytical approaches to nonlinear problemsArticle251117291733WOS:000307326600028N/AQ1