Stochastic soliton solutions for the \((2 + 1)\)-dimensional stochastic Broer-Kaup equations in a fluid or plasma

DOI10.1016/j.aml.2017.12.005zbMath1393.35186OpenAlexW2778533511MaRDI QIDQ1642101

Hui-Min Yin, Xiao-Yu Wu, Bo Tian, Jun Chai

Publication date: 20 June 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.12.005

zbMATH Keywords

soliton solutions\((2 + 1)\)-dimensional stochastic Broer-Kaup equationfluid or plasmawhite noise functional approach

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51) PDEs with randomness, stochastic partial differential equations (35R60) Forced convection (76R05)

Related Items (6)

Painlevé analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics ⋮ Solitons and other nonlinear waves for stochastic Schrödinger‐Hirota model using improved modified extended tanh‐function approach ⋮ Solitons and periodic waves for the \((2+1)\)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics ⋮ Breather and hybrid solutions for a generalized \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation for the water waves ⋮ Bilinear form and solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow-water waves ⋮ On the quintic time-dependent coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics

Cites Work

• Exact solutions of \((2+1)\)-dimensional stochastic Broer-Kaup equation
• Painlevé analysis and special solutions of generalized Broer-Kaup equations
• Application of the \(\frac{G^\prime}{G}\)-expansion to travelling wave solutions of the Broer-Kaup and the approximate long water wave equations
• Exact solutions for Wick-type stochastic coupled KdV equations
• Unnamed Item

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