The tanh method. I: Exact solutions of nonlinear evolution and wave equations.

*(English)*Zbl 0942.35034Summary: A systemized version of the tanh method is used to solve particular evolution and wave equations. If one deals with conservative systems, one seeks travelling-wave solutions in the form of a finite series in tanh. If present, boundary conditions are implemented in this expansion. The associated velocity can then be determined a priori, provided the solution vanishes at infinity. Hence, exact closed-form solutions can be obtained easily in various cases.

For Part II, ibid. 569-575 (1996) see Zbl 0942.35035 below.