New Optical Stochastic Solutions for Kundu–Mukherjee–Naskar Model With Random Variable Coefficients Using Two Different Methods

ABSTRACT In this paper, we examine the stochastic Kundu–Mukherjee–Naskar (SKMN) equation disturbed by multiplicative noise in the Itô sense. To convert the SKMN to another Kundu–Mukherjee–Naskar equation with random variable coefficients, we implement the necessary transformation. We employ two diff...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences Vol. 48; no. 15; pp. 14041 - 14050
Main Authors: Mohammed, Wael W., Al‐Askar, Farah M.
Format: Journal Article
Language:English
Published: Freiburg Wiley Subscription Services, Inc 01.10.2025
Subjects:
Elliptic functions
Exact solutions
Graphical representations
modified extended tanh function method
random fluctuations
random variable coefficients
Random variables
stochastic solutions
ISSN:0170-4214, 1099-1476
Online Access:Get full text
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Summary:ABSTRACT In this paper, we examine the stochastic Kundu–Mukherjee–Naskar (SKMN) equation disturbed by multiplicative noise in the Itô sense. To convert the SKMN to another Kundu–Mukherjee–Naskar equation with random variable coefficients, we implement the necessary transformation. We employ two different approaches, the modified extended tanh function method and the Jacobi elliptic functions method, to provide novel trigonometric, hyperbolic, and rational solutions for KMNE‐RVCs. Following that, we can get the SKMN solutions. Additionally, some earlier results are generated. Furthermore, we give various graphical representations to demonstrate the impact of multiplicative noise on the exact solutions of the SKMN.
Bibliography:The authors received no specific funding for this work.
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content type line 14
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.11159