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

Author

Listed:
  • Alvaro H. Salas
  • Lorenzo J. Martinez H
  • David L. Ocampo R

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.

Suggested Citation

  • Alvaro H. Salas & Lorenzo J. Martinez H & David L. Ocampo R, 2021. "New Solutions for the Generalized BBM Equation in terms of Jacobi and Weierstrass Elliptic Functions," Abstract and Applied Analysis, Hindawi, vol. 2021, pages 1-10, April.
    • Handle: RePEc:hin:jnlaaa:5513266
    DOI: 10.1155/2021/5513266
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    Cited by:

    1. Noha M. Rasheed & Mohammed O. Al-Amr & Emad A. Az-Zo’bi & Mohammad A. Tashtoush & Lanre Akinyemi, 2021. "Stable Optical Solitons for the Higher-Order Non-Kerr NLSE via the Modified Simple Equation Method," Mathematics, MDPI, vol. 9(16), pages 1-12, August.

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