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

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  • Mei Xiong
  • Longwei Chen
  • Na Yang

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.

Suggested Citation

  • Mei Xiong & Longwei Chen & Na Yang, 2020. "Traveling Wave Solution of the Olver–Rosenau Equation Solved by Dynamics System," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-7, May.
    • Handle: RePEc:hin:jnlmpe:9071587
    DOI: 10.1155/2020/9071587
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