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Research Article Open access CC BY 3.0

Exact Explicit Traveling Solutions for a (2+1)-Dimensional Generalized KP-BBM Equation

Liyan Zhong, Shengqiang Tang

Journal of Advances in Mathematics and Computer Science · pp. 655–663 · Published 12 Jul 2013

10.9734/BJMCS/2013/3951

Abstract

By using the sine-cosine method, the extended tanh-method, we study a (2+1)-dimensional generalized Kadomtsov-Petviashvili-Benjamin-Bona-Mahony equation. It is shown that this class gives compactons solutions, solitary patterns solutions and periodic solutions. The change of the physical structure of the solutions is caused by variation of the exponents and the coefficients of the derivatives.

Solitary patterns solution compactons periodic solution the (2 1)-dimensional GKP-BBM equation

References (9)

  1. 1 Compactons: Solitons with finite wavelength [DOI]
  2. 2 The tanh method: I. Exact solutions of nonlinear evolution and wave equations [DOI]
  3. 3 The tanh method: II. Perturbation technique for conservative systems [DOI]
  4. 4 Qualitative analysis and traveling wave solutions for the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity [DOI]
  5. 5 New exact solutions to the perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity [DOI]
  6. 6 New exact solutions to the generalized KdV equation with generalized evolution [DOI]
  7. 7 Exact solitary wave solutions of the Kadomtsov–Petviashvili–Benjamin–Bona–Mahony equation [DOI]
  8. 8 Single peak solitary wave solutions for the generalized KP–MEW (2,2) equation under boundary condition [DOI]
  9. 9 A study on compacton-like solutions for the modified KdV and fifth order KdV-like equations [DOI]

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