2006Journal of Ningbo UniversityRequires access

New Exact Solutions for (2+1)-dimensional Broer-Kaup-Kupershmidt Equations

Shun-dong Zhu

Open publisher page 2 citations

Abstract

The mapping method of generalized Ricatti equation with variant coefficients is applied to obtain the explicit solutions for the(2+1)-dimensional Broer-Kaup-Kupershmidt equations.These solutions are found for various functions such as Weierstrass,solitary wave,solitary-like wave and trigonometric functions.Due to the fact that two or three arbitrary functions are expressed in the solution,there exists a large variety of localized excitations.

About this research paper

What this paper is about

The mapping method of generalized Ricatti equation with variant coefficients is applied to obtain the explicit solutions for the(2+1)-dimensional Broer-Kaup-Kupershmidt equations.These solutions are found for various functions such as Weierstrass,solitary wave,solitary-like wave and trigonometric functions.Due to the fact that two or three arbitrary functions are expressed in the solution,there exists a large variety of localized excitations.

Why it matters

OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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 mapping method of generalized Ricatti equation with variant coefficients is applied to obtain the explicit solutions for the(2+1)-dimensional Broer-Kaup-Kupershmidt equations.These solutions are found for various functions such as Weierstrass,solitary wave,solitary-like wave and trigonometric functions.Due to the fact that two or three arbitrary functions are expressed in the solution,there exists a large variety of localized excitations.

Key concepts: Trigonometry, Traveling wave, Variety (cybernetics), Trigonometric functions, Mathematics, Mathematical analysis, One-dimensional space, Riccati equation

Related papers

Back to paper searchBrowse research topicsOriginal source
New Exact Solutions for (2+1)-dimensional Broer-Kaup-Kupershmidt Equations — Research Paper | ScholarLens