Exact solution of the Wick-type stochastic fractional coupled KdV equations

DOI10.1007/s10910-014-0406-1zbMath1331.60137OpenAlexW2005676668MaRDI QIDQ500688

Jin Hyuk Choi, Rathinasamy Sakthivel, Hyun Soo Kim

Publication date: 5 October 2015

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-014-0406-1

zbMATH Keywords

Hermite transformstochastic fractional equationswhite noise functional solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) White noise theory (60H40) Traveling wave solutions (35C07) Fractional partial differential equations (35R11)

Related Items (5)

Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations ⋮ Stochastic effects for the reaction-Duffing equation with Wick-type product ⋮ Fractional white noise functional soliton solutions of a Wick-type stochastic fractional NLSE ⋮ Traveling wave solutions of space-time fractional generalized fifth-order KdV equation ⋮ New analytical solutions for propagation of small but finite amplitude ion-acoustic waves in a dense plasma

Cites Work

• Unnamed Item
• Construction of exact solutions for fractional order differential equations by the invariant subspace method
• Elliptic traveling waves of the Olver equation
• An analytical approach to solutions of master equations for stochastic nonlinear reactions
• Exact solutions of Wick-type stochastic equations with variable coefficients
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• Positonic solutions for Wick-type stochastic KdV equations
• Improved \((G'/G)\)-expansion method for the space and time fractional foam drainage and KdV equations
• Traveling wave solutions for fifth-order KdV type equations with time-dependent coefficients
• A note on solutions of the generalized Fisher equation
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• Exact solutions for the Wick-type stochastic 2-dimensional KdV equations with dissipation
• Soliton solutions for time fractional coupled modified KdV equations using new coupled fractional reduced differential transform method
• Numerical solutions and solitary wave solutions of fractional KDV equations using modified fractional reduced differential transform method

This page was built for publication: Exact solution of the Wick-type stochastic fractional coupled KdV equations