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

Alvaro H. Salas | Zendy; Lorenzo Hernández | Zendy; David L. Ocampo R | Zendy

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

Author(s) -

Alvaro H. Salas,

Lorenzo Hernández,

David L. Ocampo R

Publication year - 2021

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2021/5513266

Subject(s) - mathematics , elliptic function , weierstrass functions , jacobi elliptic functions , power series , mathematical analysis , series (stratigraphy) , quarter period , jacobian curve , elliptic rational functions , elliptic integral , soliton , function (biology) , elliptic curve , pure mathematics , schoof's algorithm , nonlinear system , paleontology , evolutionary biology , biology , physics , quantum mechanics

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.

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