Symmetry Analysis and Solutions for a Generalization of a Family of BBM Equations
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In this paper, the family of BBM equation with strong nonlinear dispersive B(m,n) is considered. We apply the classical Lie method of infinitesimals. The symmetry reductions are derived from the optimal system of subalgebras and lead to systems of ordinary differential equations. We obtain for special values of the parameters of this equation, many exact solutions expressed by various single and combined nondegenerative Jacobi elliptic function solutions and their degenerative solutions (soliton, kink and compactons).
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TY - JOUR AU - M.S. Bruzon AU - M. L. Gandarias AU - J. C. Camacho PY - 2008 DA - 2008/10/01 TI - Symmetry Analysis and Solutions for a Generalization of a Family of BBM Equations JO - Journal of Nonlinear Mathematical Physics SP - 81 EP - 90 VL - 15 IS - supplement 3 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2008.15.s3.9 DO - 10.2991/jnmp.2008.15.s3.9 ID - Bruzon2008 ER -