Stochastic exact solutions of the Wick-type stochastic NLS equation
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Publication:298580
DOI10.1016/j.amc.2014.09.083zbMath1338.35516OpenAlexW2065109848MaRDI QIDQ298580
Yulin Zhao, Yin Li, Zheng-An Yao
Publication date: 21 June 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.09.083
NLS equations (nonlinear Schrödinger equations) (35Q55) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Soliton solutions (35C08) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
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Cites Work
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- Analytical solutions for the stochastic Gardner equation
- Three types of exact solutions to Wick-type generalized stochastic Korteweg-de Vries equation
- Exact solutions of \((3 + 1)\)-dimensional stochastic Burgers equation
- On the solution of stochastic oscillatory quadratic nonlinear equations using different techniques, a comparison study
- Generalized method and its application in the higher-order nonlinear Schrödinger equation in nonlinear optical fibres.
- Auto-Bäcklund transformation and exact solutions for modified nonlinear dispersive \(mK(m,n)\) equations
- Exact solutions for stochastic mKdV equations
- Two new applications of the homogeneous balance method
- The stochastic soliton-like solutions of stochastic KdV equations
- Auto-Bäcklund transformation and exact solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order
- Travelling solitary wave solutions to a compound KdV-Burgers equation.
- Dynamical analysis of a stochastic model for cascaded continuous flow bioreactors
- Exact solutions for a family of variable-coefficient ``reaction--Duffing equations via the Bäcklund transformation
- Some bifurcation methods of finding limit cycles
- Similarity and conditional similarity reductions of a (2+1)-dimensional KdV equation via a direct method
- New similarity reductions of the Boussinesq equation
- The Hirota-Satsuma Coupled KdV Equation and a Coupled Ito System Revisited
- New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations