Traveling Wave Solution of the Olver-Rosenau Equation Solved by Dynamics System

Mei Xiong; Longwei Chen; Na Yang; Praveen Agarwal

doi:10.1155/2020/9071587

Traveling Wave Solution of the Olver-Rosenau Equation Solved by Dynamics System

Mei Xiong
, Longwei Chen
, Na Yang
, Praveen Agarwal

Nonlinear Dynamic Research Centre (NDRC)

Yunnan University of Finance and Economics

Research output: Contribution to journal › Article › peer-review

Abstract

Olver-Rosenau equations presented by Olver and Rosenau can be rewritten to the dynamic system by the wave transformation. The system is a Hamiltonian system with the first integral, and its phase-space and equilibrium point analysis are given in different parameter spaces in detail. On this basis, we can derive various solutions of the original equation relating these orbits in different phase-space planes, and the theoretical basis of the numerical solution is provided for engineering application and production practice.

Original language	English
Article number	9071587
Journal	Mathematical Problems in Engineering
Volume	2020
DOIs	https://doi.org/10.1155/2020/9071587
State	Published - 2020

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title = "Traveling Wave Solution of the Olver-Rosenau Equation Solved by Dynamics System",

abstract = "Olver-Rosenau equations presented by Olver and Rosenau can be rewritten to the dynamic system by the wave transformation. The system is a Hamiltonian system with the first integral, and its phase-space and equilibrium point analysis are given in different parameter spaces in detail. On this basis, we can derive various solutions of the original equation relating these orbits in different phase-space planes, and the theoretical basis of the numerical solution is provided for engineering application and production practice.",

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N2 - Olver-Rosenau equations presented by Olver and Rosenau can be rewritten to the dynamic system by the wave transformation. The system is a Hamiltonian system with the first integral, and its phase-space and equilibrium point analysis are given in different parameter spaces in detail. On this basis, we can derive various solutions of the original equation relating these orbits in different phase-space planes, and the theoretical basis of the numerical solution is provided for engineering application and production practice.

AB - Olver-Rosenau equations presented by Olver and Rosenau can be rewritten to the dynamic system by the wave transformation. The system is a Hamiltonian system with the first integral, and its phase-space and equilibrium point analysis are given in different parameter spaces in detail. On this basis, we can derive various solutions of the original equation relating these orbits in different phase-space planes, and the theoretical basis of the numerical solution is provided for engineering application and production practice.

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DO - 10.1155/2020/9071587

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Traveling Wave Solution of the Olver-Rosenau Equation Solved by Dynamics System

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