Exact solutions of \((2+1)\)-dimensional stochastic Broer-Kaup equation

DOI10.1016/J.PHYSLETA.2009.02.018zbMath1228.76023OpenAlexW1965343499MaRDI QIDQ653515

Jun-Lang Chen, Chao-Qing Dai

Publication date: 19 December 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.02.018

zbMATH Keywords

exact solutionsexp-function methodHermite transformation\((2+1)\)-dimensional stochastic Broer-Kaup equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Stochastic analysis applied to problems in fluid mechanics (76M35) Soliton solutions (35C08)

Related Items (5)

Stochastic soliton solutions for the \((2 + 1)\)-dimensional stochastic Broer-Kaup equations in a fluid or plasma ⋮ Generalized solitary and periodic wave solutions to a \((2+1)\)-dimensional Zakharov-Kuznetsov equation ⋮ New exact solutions for some coupled nonlinear partial differential equations using extended coupled sub-equations expansion method ⋮ Generalization of exp-function and other standard function methods ⋮ Exact solutions for a Wick-type stochastic reaction Duffing equation

Cites Work

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• New exact solutions of the (3+1)-dimensional Burgers system
• Exact solutions for stochastic mKdV equations
• Homotopy perturbation method for bifurcation of nonlinear problems
• The stochastic soliton-like solutions of \((2+1)\)-dimensional stochastic Broer-Kaup equation
• Jacobian elliptic function expansion solutions for the Wick-type stochastic coupled KdV equations
• Uniformly constructing a series of exact solutions for \((2+1)\)-dimensional stochastic Broer-Kaup system
• Exact travelling wave solutions of the discrete sine-Gordon equation obtained via the exp-function method
• New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water

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