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

Alvaro H. Salas, Lorenzo J. Martinez H and David L. Ocampo R

Abstract and Applied Analysis, 2021, vol. 2021, issue 1

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.

Date: 2021
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https://doi.org/10.1155/2021/5513266

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