On the rational sine-Gordon solution of the forced KdV equation

Wei Gao; Carlo Cattani

doi:10.2478/ijmce-2026-0001

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On the rational sine-Gordon solution of the forced KdV equation

International Journal of Mathematics and Computer in Engineering

Volume 4 (2026): Issue 1 (June 2026)

By: Wei Gao and Carlo Cattani

Open Access

|May 2026

Abstract

The KdV equation with a forcing term is solved by searching the sine-Gordon solution. The KdV equation is converted into a nonlinear ordinary differential equation (NODE). The analytical solutions of the model studied is obtained in terms of some suitable periodic functions. The physical meanings of the parametric dependence of solutions is also studied.

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