Stochastic Extended Korteweg-De Vries Equation

Anna Karczewska; Maciej Szczecinski

doi:10.33187/jmsm.459461

EN

Stochastic Extended Korteweg-De Vries Equation

Abstract

In the paper, we consider stochastic Korteweg-de Vries - type equation. We give sufficient conditions for the existence and uniqueness of the local mild solution to the equation with additive noise. We discuss the possibility of the globalization of mild solution, as well.

Keywords

Extended KdV equation,Extended KdV,Mild solution,Near identity transformation

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Anna Karczewska ^*
0000-0001-7160-7908
Poland

Maciej Szczecinski This is me
Poland

Publication Date

August 30, 2019

Submission Date

September 12, 2018

Acceptance Date

January 10, 2019

Published in Issue

Year 2019 Volume: 2 Number: 2

DOI

https://doi.org/10.33187/jmsm.459461

IZ

https://izlik.org/JA72CH85KN

APA

Karczewska, A., & Szczecinski, M. (2019). Stochastic Extended Korteweg-De Vries Equation. Journal of Mathematical Sciences and Modelling, 2(2), 74-81. https://doi.org/10.33187/jmsm.459461

AMA

1.Karczewska A, Szczecinski M. Stochastic Extended Korteweg-De Vries Equation. Journal of Mathematical Sciences and Modelling. 2019;2(2):74-81. doi:10.33187/jmsm.459461

Chicago

Karczewska, Anna, and Maciej Szczecinski. 2019. “Stochastic Extended Korteweg-De Vries Equation”. Journal of Mathematical Sciences and Modelling 2 (2): 74-81. https://doi.org/10.33187/jmsm.459461.

EndNote

Karczewska A, Szczecinski M (August 1, 2019) Stochastic Extended Korteweg-De Vries Equation. Journal of Mathematical Sciences and Modelling 2 2 74–81.

IEEE

[1]A. Karczewska and M. Szczecinski, “Stochastic Extended Korteweg-De Vries Equation”, Journal of Mathematical Sciences and Modelling, vol. 2, no. 2, pp. 74–81, Aug. 2019, doi: 10.33187/jmsm.459461.

ISNAD

Karczewska, Anna - Szczecinski, Maciej. “Stochastic Extended Korteweg-De Vries Equation”. Journal of Mathematical Sciences and Modelling 2/2 (August 1, 2019): 74-81. https://doi.org/10.33187/jmsm.459461.

JAMA

1.Karczewska A, Szczecinski M. Stochastic Extended Korteweg-De Vries Equation. Journal of Mathematical Sciences and Modelling. 2019;2:74–81.

MLA

Karczewska, Anna, and Maciej Szczecinski. “Stochastic Extended Korteweg-De Vries Equation”. Journal of Mathematical Sciences and Modelling, vol. 2, no. 2, Aug. 2019, pp. 74-81, doi:10.33187/jmsm.459461.

Vancouver

1.Anna Karczewska, Maciej Szczecinski. Stochastic Extended Korteweg-De Vries Equation. Journal of Mathematical Sciences and Modelling. 2019 Aug. 1;2(2):74-81. doi:10.33187/jmsm.459461