New Solutions for the Generalized BBM Equation in terms of Jacobi and Weierstrass Elliptic Functions-Reference-Cited by-同舟云学术

New Solutions for the Generalized BBM Equation in terms of Jacobi and Weierstrass Elliptic Functions

Published:2021-04-22 Issue: Volume:2021 Page:1-10
ISSN:1687-0409
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Salas Alvaro H.¹^ORCID,Martinez H Lorenzo J.²^ORCID,Ocampo R David L.²^ORCID

Affiliation:

1. Department of Mathematics and Statistics, FIZMAKO Research Group, Universidad Nacional de Colombia, Nubia Campus, Manizales, Caldas, Colombia

2. Department of Mathematics, Department of Mathematics and Statistics, Universidad de Caldas, Universidad Nacional de Colombia, Nubia Campus, Manizales, Caldas, Colombia

Abstract

The Jacobi elliptic function method is applied to solve the generalized Benjamin-Bona-Mahony equation (BBM). Periodic and soliton solutions are formally derived in a general form. Some particular cases are considered. A power series method is also applied in some particular cases. Some solutions are expressed in terms of the Weierstrass elliptic function.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2021/5513266.pdf

Reference39 articles.

1. Model equations for long waves in nonlinear dispersive systems;T. B. Benjamin;Philosophical Transactions of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences,1972

2. Travelling wave solutions of the generalized Benjamin–Bona–Mahony equation

3. The tanh and the sine–cosine methods for exact solutions of the MBBM and the Vakhnenko equations

4. Extended Jacobi elliptic function expansion method for nonlinear Benjamin-Bona-Mahony equations;A. S. Alofi;International Mathematical Forum,2012

5. Exact Periodic Solutions to Generalized BBM Equation and Relevant Conclusions

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