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Changes in the physical structures for new versions of the Degasperis-Procesi-Camassa-Holm model

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Abstract The goal of this work is to develop new solutions for modified versions of Degasperis-Procesi and Camassa-Holm model (DP-CH). In earlier studies, it has been observed that the new… Click to show full abstract

Abstract The goal of this work is to develop new solutions for modified versions of Degasperis-Procesi and Camassa-Holm model (DP-CH). In earlier studies, it has been observed that the new modification caused a deformation in the physical structures of the standard DP-CH and changed it from peakon-type to bell-shaped type. Further modifications of the modified DP-CH is presented, and a new deformation is reported for the new version as a change from bell-shaped type to periodic-wave type. The Kudryashov-expansion method and the sech-csch function method are used to support our findings. We concluded in this study that a change in the convection term for a physical model results in a change in its physical structure.

Keywords: holm model; camassa holm; procesi camassa; model; versions degasperis; degasperis procesi

Journal Title: Chinese Journal of Physics
Year Published: 2020

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