EXACT PEAKON SOLUTIONS GIVEN BY THE GENERALIZED HYPERBOLIC FUNCTIONS FOR SOME NONLINEAR WAVE EQUATIONS | Zendy

Jibin Li | Zendy; Maoan Han | Zendy

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EXACT PEAKON SOLUTIONS GIVEN BY THE GENERALIZED HYPERBOLIC FUNCTIONS FOR SOME NONLINEAR WAVE EQUATIONS

Author(s) -

Jibin Li,

Maoan Han

Publication year - 2020

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/20200139

Subject(s) - peakon , camassa–holm equation , nonlinear system , mathematics , mathematical analysis , hyperbolic function , constraint (computer aided design) , hyperbolic partial differential equation , physics , partial differential equation , integrable system , geometry , quantum mechanics

In 1993, Camassa and Holm drived a shallow water equation and found that this equation has a peakon solution with the form φ(ξ) = ce−|ξ|. In this paper, we show that three nonlinear wave systems have peakon solutions which needs to be represented as generalized hyperbolic functions. For the existence of these solutions, some constraint parameter conditions are derived.

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