On Exact Special Solutions for the Stochastic Regularized Long Wave-Burgers Equation
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Date
2020
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Springer
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GOLD
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Yes
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Abstract
In this paper, we will analyze the Regularized Long Wave-Burgers equation with conformable derivative (cd). Some white noise functional solutions for this equation are obtained by using white noise analysis, Hermite transforms, and the modified sub-equation method. These solutions include exact stochastic trigonometric functions, hyperbolic functions solutions and wave solutions. This study emphasizes that the modified fractional sub-equation method is sufficient to solve the stochastic nonlinear equations in mathematical physics.
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Keywords
The Stochastic Rlwbe, White Noise Analysis, Hermite Transforms, The Modified Sub-Equation Method, Geometry, Conformable matrix, White noise, Periodic Wave Solutions, Mathematical analysis, Quantum mechanics, Hermite transforms, Discrete Solitons in Nonlinear Photonic Systems, QA1-939, FOS: Mathematics, The modified sub-equation method, The stochastic RLWBE, Anomalous Diffusion Modeling and Analysis, Trigonometric functions, Hermite polynomials, Stochastic differential equation, Physics, Statistics, Statistical and Nonlinear Physics, Partial differential equation, White noise analysis, Applied mathematics, Hyperbolic function, Physics and Astronomy, Burgers' equation, Modeling and Simulation, Physical Sciences, Hyperbolic partial differential equation, Nonlinear system, Wave equation, Trigonometry, Mathematics, Rogue Waves in Nonlinear Systems, white noise analysis, Stochastic partial differential equations (aspects of stochastic analysis), Fractional derivatives and integrals, PDEs with randomness, stochastic partial differential equations, modified sub-equation method, stochastic RLWBE, Fractional partial differential equations
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Fields of Science
0211 other engineering and technologies, 02 engineering and technology, 0202 electrical engineering, electronic engineering, information engineering
Citation
Korpınar, Zeliha...et al. (2020). "On exact special solutions for the stochastic regularized long wave-Burgers equation", Advances in Difference Equations, Vol. 2020, No. 1.
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Q1
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OpenCitations Citation Count
4
Source
Advances in Difference Equations
Volume
2020
Issue
1
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Scopus : 5
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