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

Mohammed Zakarya | Zendy

Open Access

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

Author(s) -

Mohammed Zakarya

Publication year - 2020

Publication title -

thermal science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.339

H-Index - 43

eISSN - 2334-7163

pISSN - 0354-9836

DOI - 10.2298/tsci20s1209z

Subject(s) - trigonometry , hyperbolic function , hermite polynomials , gaussian , mathematics , type (biology) , exponential function , white noise , mathematical analysis , exponential type , physics , quantum mechanics , ecology , statistics , biology

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.

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