Soliton solutions for time fractional coupled modified KdV equations using new coupled fractional reduced differential transform method

DOI10.1007/s10910-013-0210-3zbMath1321.35205OpenAlexW2048299735MaRDI QIDQ2517636

Yanyan Li

Publication date: 26 August 2015

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

Full work available at URL: https://doi.org/10.1007/s10910-013-0210-3

zbMATH Keywords

Adomian decomposition methodRiemann-Liouville fractional derivativeCaputo fractional derivativecoupled fractional reduced differential transformfractional coupled modified KdV equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08) Fractional partial differential equations (35R11)

Related Items (11)

Solitary wave solutions for time fractional third order modified KdV equation using two reliable techniques \((G^{\prime} / G)\)-expansion method and improved \((G^{\prime} / G)\)-expansion method ⋮ On the soliton solution and Jacobi doubly periodic solution of the fractional coupled Schrödinger-KdV equation by a novel approach ⋮ Numerical simulation for fractional Jaulent–Miodek equation associated with energy-dependent Schrödinger potential using two novel techniques ⋮ Asymptotic solutions of time-space fractional coupled systems by residual power series method ⋮ APPROXIMATE SOLUTIONS FOR TIME-FRACTIONAL TWO-COMPONENT EVOLUTIONARY SYSTEM OF ORDER 2 USING COUPLED FRACTIONAL REDUCED DIFFERENTIAL TRANSFORM METHOD ⋮ Approximate series solution of fourth-order boundary value problems using decomposition method with Green's function ⋮ A fourth order finite difference method for the good Boussinesq equation ⋮ Exact solution of the Wick-type stochastic fractional coupled KdV equations ⋮ Numerical soliton solutions of fractional Newell-Whitehead-Segel equation in binary fluid mixtures ⋮ New analytical solutions for propagation of small but finite amplitude ion-acoustic waves in a dense plasma ⋮ A novel method for travelling wave solutions of fractional Whitham–Broer–Kaup, fractional modified Boussinesq and fractional approximate long wave equations in shallow water

Cites Work

• On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation
• Generalized Taylor's formula
• A new approach for the application of Adomian decomposition method for the solution of fractional space diffusion equation with insulated ends
• The decomposition method for solving the coupled modified KdV equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Analytical solution of a fractional diffusion equation by Adomian decomposition method
• An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method
• Analytical solution of the Bagley-Torvik equation by Adomian decomposition method
• Exact solutions for time-fractional diffusion-wave equations by decomposition method
• Analytical Solution of a Dynamic System Containing Fractional Derivative of Order One-Half by Adomian Decomposition Method
• Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation

This page was built for publication: Soliton solutions for time fractional coupled modified KdV equations using new coupled fractional reduced differential transform method