Volume 10, Number 4, 2020, Pages 17081719 DOI：10.11948/20200139 
Exact peakon solutions given by the generalized hyperbolic functions for some nonlinear wave equations 
Jibin Li,Maoan Han 
Keywords:Peakon, traveling wave solution, Arai qdeformed hyperbolic function, multicomponent Kortewegde Vries equation with dispersion, nonlinear Schrodinger equation, rotationtwocomponent CamassaHolm system. 
Abstract: 
In 1993, Camassa and Holm drived a shallow water equation and found that this equation has a peakon solution with the form $\phi(\xi)=ce^{\xi}$. 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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