The tanh-function method for finding explicit travelling solitary wave solutions to non-linear
evolution equations is described. The method is usually extremely tedious to use by hand …

The sn-and cn-function methods for finding nonsingular periodic-wave solutions to nonlinear
evolution equations are described in a form suitable for automation, where sn and cn are the …

In this paper, we devise a new unified algebraic method to construct a series of explicit exact
solutions for general nonlinear equations. Compared with most existing methods such as …

A method for finding exact solutions and the first integrals is presented. The basic idea of the
method is to use the value of the Fuchs index that appears in the Painlevé test to construct …

Publisher Summary This chapter describes the onset of oscillatory interfacial instability and
wave motions in Bénard layers. An account of the basic equations and approximations …

An exact general periodical solution in terms of the Weierstrass elliptic function℘ is obtained
to the nonlinear dissipative ODE governing free surface travelling waves on a viscous …

An algebraic method is devised to uniformly construct a series of exact solutions for general
integrable and nonintegrable nonlinear evolution equations. Compared with most existing …

Generalized Tanh Method with Symbolic Computation and Generalized Shallow Water Wave
Equation Page 1 Pergamon Computers Math. Applic. Vol. 33, No. 4, pp. 115-118, 1997 …

In physical sciences, nonlinear evolution equations (NLEEs) and their exact solutions are of
fundamental importance. However, there is no answer yet as to whether or not one is able to …

Exact solutions to the two-dimensional Korteweg- de Vries-Burgers equation Page 1 Journal of
Physics A: Mathematical and General Exact solutions to the two-dimensional Kortewegde …