ScholarLens Back to search
2008•Journal of Anhui UniversityRequires access

The extended expansion method for Jacobi elliptic function and the new exact periodic solutions for Klein-Gordon

Miao Zhang

Open publisher page 0 citations

Abstract

In this paper,a generalized Jacobi elliptic function expansion method was used and with the aid of symbolic computation system mathematica some new exact periodic solutions which include the solutions obtained by Jacobi elliptic function method for Klein-Gordon are obtained.When the modulus m→1 or 0,these solutions degenerated to the corresponding solitary wave solutions,shock wave solutions os trigonometric function(singly periodic) solutions.

About this research paper

What this paper is about

In this paper,a generalized Jacobi elliptic function expansion method was used and with the aid of symbolic computation system mathematica some new exact periodic solutions which include the solutions obtained by Jacobi elliptic function method for Klein-Gordon are obtained.When the modulus m→1 or 0,these solutions degenerated to the corresponding solitary wave solutions,shock wave solutions os trigonometric function(singly periodic) solutions.

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

In this paper,a generalized Jacobi elliptic function expansion method was used and with the aid of symbolic computation system mathematica some new exact periodic solutions which include the solutions obtained by Jacobi elliptic function method for Klein-Gordon are obtained.When the modulus m→1 or 0,these solutions degenerated to the corresponding solitary wave solutions,shock wave solutions os trigonometric function(singly periodic) solutions.

Key concepts: Elliptic function, Jacobi elliptic functions, Elliptic integral, Trigonometric functions, Trigonometry, Mathematics, Mathematical analysis, Quarter period

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
The extended expansion method for Jacobi elliptic function and the new exact periodic solutions for Klein-Gordon — Research Paper | ScholarLens