Hypercomplex systems and non-Gaussian stochastic solutions of χ-Wick-type (3+1)-dimensional modified Benjamin-Bona-Mahony equation-Reference-Cited by-同舟云学术

Hypercomplex systems and non-Gaussian stochastic solutions of χ-Wick-type (3+1)-dimensional modified Benjamin-Bona-Mahony equation

Published:2020 Issue:Suppl. 1 Volume:24 Page:209-223
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Zakarya Mohammed¹

Affiliation:

1. Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia + Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, Egypt

Abstract

In this paper, we seek non-Gaussian stochastic solutions of ?-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, ?-Wick product and ?-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.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

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