ScholarLens Back to search
2011•Journal of Inner Mongolia UniversityRequires access

Constructing the Exact Solutions to Nonlinear Difference-differential Equations Using An Extented Riccati Equation Method

Qiang Tian

Open publisher page 0 citations

Abstract

The extented Riccati equation method is applied to solve nonlinear difference-differential equation(s).The discrete nonlinear(2+1)-dimensional Toda lattice equation is chosen as an applicable example and a number of exact solutions of the equation are obtained including rational formal hyperbolic function solutions and rational formal triangular function periodic solutions with the help of symbolic computation system Maple.

About this research paper

What this paper is about

The extented Riccati equation method is applied to solve nonlinear difference-differential equation(s).The discrete nonlinear(2+1)-dimensional Toda lattice equation is chosen as an applicable example and a number of exact solutions of the equation are obtained including rational formal hyperbolic function solutions and rational formal triangular function periodic solutions with the help of symbolic computation system Maple.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The extented Riccati equation method is applied to solve nonlinear difference-differential equation(s).The discrete nonlinear(2+1)-dimensional Toda lattice equation is chosen as an applicable example and a number of exact solutions of the equation are obtained including rational formal hyperbolic function solutions and rational formal triangular function periodic solutions with the help of symbolic computation system Maple.

Key concepts: Riccati equation, Mathematics, Algebraic Riccati equation, Nonlinear system, Differential equation, First-order partial differential equation, Partial differential equation, Mathematical analysis

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Constructing the Exact Solutions to Nonlinear Difference-differential Equations Using An Extented Riccati Equation Method — Research Paper | ScholarLens