Work

He–Laplace method for nonlinear vibration in shallow water waves

Year: 2018

Type: article

Abstract: 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.

Source: Journal of low frequency noise, vibration and active control

DOI: 10.1177/1461348418817869

Authors: Fengquan Li, Muhammad Nadeem

Institution: Dalian University of Technology

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,500

Funder: National Natural Science Foundation of China