Peakon, rational function and periodic solutions for Tzitzeica–Dodd–Bullough type equations

Jiangrui Zhou, Rui Zhou and Shihui Zhu

Chaos, Solitons & Fractals, 2020, vol. 141, issue C

Abstract: The fourth-order complete discrimination system method is employed to the seek exact solutions of the Tzitzeica–Dodd–Bullough equation as well as the double sinh-Gordon equation. We obtain a range of new solutions, including a periodic solution, a triangular function solution, rational function solutions, peakon solutions and Jacobian elliptic function solutions.

Keywords: Tzizeica-Dodd–Bullough eqution; Double sinh-Gordon equation; Complete discriminant system method; Soliton (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:141:y:2020:i:c:s0960077920308122

DOI: 10.1016/j.chaos.2020.110419

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