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Comment on “New families of soliton solutions and dynamics of nonlinear traveling waves for the Whitham–Broer–Kaup equation” [Mathematics and Computers in Simulation 239 (2026) 376-390]

Jibin Li and Yanfei Dai

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 249, issue C, 827-830

Abstract: In this paper, we show that the traveling wave equation of the Whitham–Broer–Kaup (WBK) equations given by the reference (Pradhan et al., 2026) is a cubic nonlinear oscillator with damping. Using the method of dynamical system, under a given parameter condition, we prove the existence of exact explicit kink and anti-kink wave solutions.

Keywords: Whitham–Broer–Kaup (WBK) equations; Traveling wave equation; Cubic nonlinear oscillator with damping; Kink and anti-kink waves (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:249:y:2026:i:c:p:827-830

DOI: 10.1016/j.matcom.2026.05.035

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