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<p>We consider the general Cheng equation which is a two-dimensional nonlinear dispersive wave equation modeling finite deformations in a prestressed hyperelastic plate. This family generalizes the Kadomtsev–Petviashvili equation and includes the KdV, Camassa–Holm and Degasperis Procesi general equations. Our objective is the construction of classical (solitons) solitary wave solutions to this equation.</p>

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Soliton-type solutions of the general Chen equation

  • 期刊论文

  • 发表日期：

    2025年6月23日

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  • Jesus Noyola Rodríguez

摘要

We consider the general Cheng equation which is a two-dimensional nonlinear dispersive wave equation modeling finite deformations in a prestressed hyperelastic plate. This family generalizes the Kadomtsev–Petviashvili equation and includes the KdV, Camassa–Holm and Degasperis Procesi general equations. Our objective is the construction of classical (solitons) solitary wave solutions to this equation.