×

The tanh method. I: Exact solutions of nonlinear evolution and wave equations. (English) Zbl 0942.35034

Summary: 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.

MSC:

35C05 Solutions to PDEs in closed form
35Q53 KdV equations (Korteweg-de Vries equations)

Citations:

Zbl 0942.35035

Software:

MACSYMA
PDFBibTeX XMLCite
Full Text: DOI