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论文类型：期刊论文

发表时间：2019-12-01

发表刊物：JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL

收录刊物：SCIE、EI

卷号：38

期号：3-4

页面范围：1305-1313

ISSN号：1461-3484

关键字：He-Laplace method; nonlinear vibration; modified Boussinesq equation; cubic Boussinesq equation; He's polynomials

摘要：This study is based on an analytical approach for nonlinear vibration of nonlinear evaluation equations which arises in shallow water waves. This approach is, coupled with variational iteration method and Laplace transformation, known as He-Laplace method. In order to show the capability of the proposed method, He's polynomials are employed to handle nonlinear terms in illustrated problems due to specific limit of Laplace transformation. Significant results and their graphical representations demonstrated that He-Laplace method is most suitable for nonlinear problems, and it is enormously active for nonlinear vibrations and nonlinear waves.