Constructing families traveling wave solutions in terms of special function for the asymmetric Nizhnik-Novikov-Vesselov equation

摘要

By means of a more general ansatz and the computerized symbolic system Maple, a generalized algebraic method to uniformly construct solutions in terms of special function of nonlinear evolution equations (NLEEs) is presented. We not only successfully recover the previously-known traveling wave solutions found by Fan's method, but also obtain some general traveling wave solutions in terms of the special function for the asymmetric Nizhnik-Novikov-Vesselov equation.