Extended Jacobi Elliptic Function Expansion Method for Nonlinear Benjamin-Bona-Mahony Equations
نویسنده
چکیده
The Benjamin-Bona-Mahony equation has improved short-wavelength behaviour, as compared to the Korteweg-de Vries equation, and is another uni-directional wave equation with cnoidal wave solutions. Cnoidal wave solutions can appear in other applications than surface gravity waves as well, for instance to describe ion acoustic waves in plasma physics. Using a computerized symbolic computation technique, we construct the interesting Jacobi doubly periodic wave solutions for these equations by applying the extended Jacobi elliptic function expansion method.
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