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

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

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...

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Veröffentlicht in:Abstract and applied analysis 2021, Vol.2021, p.1-10
Hauptverfasser: Salas, Alvaro H., Martinez H, Lorenzo J., Ocampo R, David L.
Format: Artikel
Sprache:eng
Schlagworte:
Elliptic functions
Helmholtz equations
Power series
Solitary waves
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Beschreibung
Zusammenfassung: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2021/5513266