Auxiliary equation method for solving nonlinear Wick-type partial differential equations

DOI10.1016/j.cnsns.2010.09.014zbMath1221.35089OpenAlexW1964982703WikidataQ115358726 ScholiaQ115358726MaRDI QIDQ718558

Yong Chen, Hong-Jun Gao

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.09.014

zbMATH Keywords

Burgers equationKdV equationauxiliary equation methodWick-type PDE

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) PDEs with randomness, stochastic partial differential equations (35R60) Traveling wave solutions (35C07)

Uses Software

• MACSYMA

Cites Work

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• New exact solutions of the (3+1)-dimensional Burgers system
• Some exact Wick type stochastic generalized Boussinesq equation solutions
• New Jacobi elliptic functions solutions for the variable-coefficient mKdV equation
• A remark on the equivalence between Poisson and Gaussian stochastic partial differential equations
• Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics
• The stochastic soliton-like solutions of stochastic KdV equations
• Some exact solutions for stochastic mKdV equation
• Exact solutions for Wick-type stochastic coupled KdV equations
• Uniformly constructing a series of exact solutions for \((2+1)\)-dimensional stochastic Broer-Kaup system
• New exact Jacobian elliptic function solutions for Wick-type stochastic KdV equation

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