The Tanh Method: A Tool to Solve Nonlinear Partial Differential Equations with Symbolic Software
نویسندگان
چکیده
The hyperbolic tangent (tanh) method is a powerful technique to symbolically compute traveling waves solutions of one-dimensional nonlinear wave and evolution equations. In particular, the method is well suited for problems where dispersion, convection, and reactiondiffusion phenomena play an important role. The technique is outlined for the computation of closedform tanh-solutions for nonlinear partial differential equations and ordinary differential equations. Basic examples illustrate the key steps of the method. A brief survey is given of symbolic software packages that compute traveling wave solutions in closed form.
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