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Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations
- Source :
- Repositório Científico de Acesso Aberto de Portugal, Repositório Científico de Acesso Aberto de Portugal (RCAAP), instacron:RCAAP
- Publication Year :
- 2020
- Publisher :
- Elsevier, 2020.
-
Abstract
- In this article, exact traveling wave solutions of a Wick-type stochastic nonlinear Schr\"{o}dinger equation and of a Wick-type stochastic fractional Regularized Long Wave-Burgers (RLW-Burgers) equation have been obtained by using an improved computational method. Specifically, the Hermite transform is employed for transforming Wick-type stochastic nonlinear partial differential equations into deterministic nonlinear partial differential equations with integral and fraction order. Furthermore, the required set of stochastic solutions in the white noise space is obtained by using the inverse Hermite transform. Based on the derived solutions, the dynamics of the considered equations are performed with some particular values of the physical parameters. The results reveal that the proposed improved computational technique can be applied to solve various kinds of Wick-type stochastic fractional partial differential equations.<br />Comment: This is a preprint of a paper whose final and definite form is with 'Chaos, Solitons & Fractals', ISSN 0960-0779 [https://doi.org/10.1016/j.chaos.2019.109542]. Submitted 19-Sept-2019; Revised 14-Nov-2019; Accepted for publication 18-Nov-2019. This version includes minor corrections detected while reading galley proofs
- Subjects :
- General Mathematics
General Physics and Astronomy
Inverse
Travelling wave solutions
Type (model theory)
Wick-type stochastic fractional RLW-Burgers equation
Space (mathematics)
01 natural sciences
010305 fluids & plasmas
symbols.namesake
Mathematics - Analysis of PDEs
0103 physical sciences
FOS: Mathematics
Applied mathematics
Fraction (mathematics)
Mathematics - Numerical Analysis
Solitary waves
010301 acoustics
Nonlinear Schrödinger equation
Mathematics
Partial differential equation
Applied Mathematics
Statistical and Nonlinear Physics
Numerical Analysis (math.NA)
White noise
Hermite transform
Nonlinear system
Wick-type stochastic nonlinear Schrödinger equation
symbols
Analysis of PDEs (math.AP)
Subjects
Details
- Language :
- English
- ISSN :
- 09600779
- Database :
- OpenAIRE
- Journal :
- Repositório Científico de Acesso Aberto de Portugal, Repositório Científico de Acesso Aberto de Portugal (RCAAP), instacron:RCAAP
- Accession number :
- edsair.doi.dedup.....11add54771a068739904e8651d347ed6