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Exact traveling wave solutions of the Wu–Zhang system describing (1 + 1)-dimensional dispersive long wave

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Abstract

This paper examines the effectiveness of two newly developed algorithms called the exponential rational function and modified simple equation methods in exactly solving a well-known nonlinear system of partial differential equations. In this respect, the Wu–Zhang system which describes (1 + 1)-dimensional dispersive long wave is considered, and as an achievement, a series of exact traveling wave solutions for the aforementioned system are formally extracted.

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Authors and Affiliations

  1. Department of Mathematics, Art-Science Faculty, Kastamonu University, Kastamonu, Turkey

    M. Kaplan

  2. Young Researchers and Elite Club, Lahijan Branch, Islamic Azad University, Lahijan, Iran

    P. Mayeli

  3. Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

    K. Hosseini

Authors
  1. M. Kaplan
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  2. P. Mayeli
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  3. K. Hosseini
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Correspondence to P. Mayeli.

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Kaplan, M., Mayeli, P. & Hosseini, K. Exact traveling wave solutions of the Wu–Zhang system describing (1 + 1)-dimensional dispersive long wave. Opt Quant Electron 49, 404 (2017). https://doi.org/10.1007/s11082-017-1231-0

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