Full Text: PDF
DOI: 10.23952/jnfa.2026.8
Received October 9, 2025; Accepted February 14, 2026; Published March 11, 2026
Abstract. The stochastic generalized Korteweg–de-Vries–Zakharov–Kuznetsov (GKDV-ZK) equation driven by multiplicative noise is considered in this paper. The stochastic GKDV-ZK equation is transformed into another GKDV-ZK equation with random variable coefficients (GKDV–ZKE-RVCs) by applying a proper transformation. Rational, elliptic, hyperbolic, and trigonometric solutions for GKDV-ZKE-RVCs were obtained. In addition, we present several figures to illustrate how multiplicative noise impacts the exact solutions of the stochastic GKDV-ZK equation.
How to Cite this Article:
W.W. Mohammed, N. Iqbal, E.E. Ali, H.M. Alshammary, Rabeb Sidaoui, Abundant stochastic exact solutions for the generalized KDV-Zakharov-Kuznetsov equation perturbed by multiplicative noise in shallow sater waves, J. Nonlinear Funct. Anal. 2026 (2026) 8.