Existence and Uniqueness of Periodic and Solitary Waves for a Perturbed Generalized KdV Equation

Zhengyong Ouyang, Weihua Huang, Minzhi Wei and Chang Phang

Journal of Mathematics, 2022, vol. 2022, 1-11

Abstract: This paper establishes the existence and uniqueness of periodic and solitary waves for a perturbed generalized KdV equation. We prove that the periodic wave persists when the wave speed is in a certain interval, and the wavelength of the periodic wave is an increasing function. Furthermore, under the condition of the unique periodic wave exists, the interval of wave speed c becomes smaller as the power n increases.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5488473

DOI: 10.1155/2022/5488473

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