The influence of multiplicative noise on the stochastic exact solutions of the Nizhnik–Novikov–Veselov system

W. W. Mohammed; M. El-Morshedy

doi:10.1016/j.matcom.2021.05.022

The influence of multiplicative noise on the stochastic exact solutions of the Nizhnik–Novikov–Veselov system

W. W. Mohammed
, M. El-Morshedy

Mathematics

Research output: Contribution to journal › Article › peer-review

75 Scopus citations

Abstract

In this paper we consider the stochastic Nizhnik–Novikov–Veselov system, which is forced in the Itô sense by multiplicative noise. To get a new trigonometric and hyperbolic stochastic solutions, we use the tanh–coth method and sine–cosine method.

Original language	English
Pages (from-to)	192-202
Number of pages	11
Journal	Mathematics and Computers in Simulation
Volume	190
DOIs	https://doi.org/10.1016/j.matcom.2021.05.022
State	Published - Dec 2021

Keywords

Multiplicative noise
Stochastic Nizhnik–Novikov–Veselov system
sine–cosine method
tanh–coth method

Access to Document

10.1016/j.matcom.2021.05.022

Cite this

@article{bdf34bad57c44eca8719ca6b1fe507b5,

title = "The influence of multiplicative noise on the stochastic exact solutions of the Nizhnik–Novikov–Veselov system",

abstract = "In this paper we consider the stochastic Nizhnik–Novikov–Veselov system, which is forced in the It{\^o} sense by multiplicative noise. To get a new trigonometric and hyperbolic stochastic solutions, we use the tanh–coth method and sine–cosine method.",

keywords = "Multiplicative noise, Stochastic Nizhnik–Novikov–Veselov system, sine–cosine method, tanh–coth method",

author = "Mohammed, \{W. W.\} and M. El-Morshedy",

note = "Publisher Copyright: {\textcopyright} 2021 International Association for Mathematics and Computers in Simulation (IMACS)",

year = "2021",

month = dec,

doi = "10.1016/j.matcom.2021.05.022",

language = "English",

volume = "190",

pages = "192--202",

journal = "Mathematics and Computers in Simulation",

issn = "0378-4754",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - The influence of multiplicative noise on the stochastic exact solutions of the Nizhnik–Novikov–Veselov system

AU - Mohammed, W. W.

AU - El-Morshedy, M.

PY - 2021/12

Y1 - 2021/12

N2 - In this paper we consider the stochastic Nizhnik–Novikov–Veselov system, which is forced in the Itô sense by multiplicative noise. To get a new trigonometric and hyperbolic stochastic solutions, we use the tanh–coth method and sine–cosine method.

AB - In this paper we consider the stochastic Nizhnik–Novikov–Veselov system, which is forced in the Itô sense by multiplicative noise. To get a new trigonometric and hyperbolic stochastic solutions, we use the tanh–coth method and sine–cosine method.

KW - Multiplicative noise

KW - Stochastic Nizhnik–Novikov–Veselov system

KW - sine–cosine method

KW - tanh–coth method

UR - https://www.scopus.com/pages/publications/85107044852

U2 - 10.1016/j.matcom.2021.05.022

DO - 10.1016/j.matcom.2021.05.022

M3 - Article

AN - SCOPUS:85107044852

SN - 0378-4754

VL - 190

SP - 192

EP - 202

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

ER -

The influence of multiplicative noise on the stochastic exact solutions of the Nizhnik–Novikov–Veselov system

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this