THERMAL SCIENCE

International Scientific Journal

Mohammed Zakarya

HYPERCOMPLEX SYSTEMS AND NON-GAUSSIAN STOCHASTIC SOLUTIONS OF χ-WICK-TYPE (3+1)-DIMENSIONAL MODIFIED BENJAMIN-BONA-MAHONY EQUATION

ABSTRACT
In this paper, we seek non-Gaussian stochastic solutions of χ-Wick-type stochastic (3+1)-dimensional modified Benjamin-Bona-Mahony equations. Using the generalized modified tanh-coth method, the connection between hypercomplex system and transforming white noise theory, χ-Wick product and χ-Hermite transform, we generate a new set of exact travelling non-Gaussian wave solutions for the (3+1)-dimensional modified Benjamin-Bona-Mahony equations. This set contains solutions with non-Gaussian parameters of exponential, hyperbolic, and trigonometric types.
KEYWORDS
modified BBM equations, (3+1)-dimensional equations, white noise, Hermite transform, non-Gaussian white noise, Wick product, travelling wave solutions
PAPER SUBMITTED: 2020-05-11
PAPER REVISED: 2020-06-04
PAPER ACCEPTED: 2020-06-12
PUBLISHED ONLINE: 2020-10-25
DOI REFERENCE: https://doi.org/10.2298/TSCI20S1209Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Supplement, PAGES [209 - 223]
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Hypercomplex systems and non-Gaussian stochastic solutions of χ-Wick-type (3+1)-dimensional modified Benjamin-Bona-Mahony equation

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