Generalized hyperbolic-function method with computerized symbolic computation to construct the solitonic solutions to nonlinear equations of mathematical physics

Based on computerized symbolic computation, a generalized hyperbolic-function method and its algorithm are proposed for the nonlinear equations of mathematical physics. More powerful than the typical tanh methods, our algorithm could be widely applicable, including (a) the non-traveling solitonic features, (b) the multi-hyperbolic functions, and (c) the coefficient functions. Sample equations with physical interests are demonstrated. New solitonic solutions are presented. (C) 2001 Elsevier Science B.V. All rights reserved.