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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… Click to show full abstract
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.
Keywords:
hyperbolic functions;
peakon solutions;
solutions given;
generalized hyperbolic;
exact peakon;
nonlinear wave
Journal Title: Journal of Applied Analysis and Computation
Year Published: 2020
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Journal Title: Journal of Applied Analysis and Computation
Year Published: 2020
Link to full text (if available)
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recommendations!