Analytical Solutions for Generalized Stochastic HSC-KdV Equations with Variable Coefficients Using Hermite Transform and F-Expansion Method

This study focuses on analyzing the generalized HSC-KdV equations characterized by variable coefficients and Wick-type stochastic (Wt.S) elements. To derive white noise functional (WNF) solutions, we employ the Hermite transform, the homogeneous balance principle, and the Fe (F-expansion) technique....

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Bibliographic Details
Published in:	Axioms Vol. 14; no. 8; p. 624
Main Authors:	Zakarya, Mohammed, Al-Shehri, Nadiah Zafer, Ali, Hegagi M., Abd-Rabo, Mahmoud A., Rezk, Haytham M.
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 10.08.2025
Subjects:	Algebra Differential equations Elliptic functions Exact solutions F-expansion technique generalized HSC-KdV equations Hermite transform Korteweg-Devries equation Mathematical functions Methods non-Gaussian parameters Nonlinear equations Ordinary differential equations Partial differential equations Physics Quantum field theory White noise white noise functional approach Wick-type stochastic analysis
ISSN:	2075-1680, 2075-1680
Online Access:	Get full text
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