New analytical solutions to the stochastic (2 + 1)-dimensional combined KdV-mKdV equation

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Abstract

In this article, we investigate the (2 + 1)-dimensional stochastic KdV-mKdv equation perturbed by white noise in the Itô sense. The improved Tanh-Coth method is used to obtain new stochastic solutions. It also extends some previous research. Since this new equation is essential for describing various phenomena in ocean engineering, hydrodynamics and optics, the obtained solutions are useful for interpreting certain interesting physical phenomena. To show how multiplicative white noise affects the exact solution, we plot the solutions in Julia and show some 3D plots.

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last seen: 2026-05-19T01:45:01.086888+00:00