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Bibikov, Y.N. (1979) Local Theory of Nonlinear Analytic Ordinary Differential Equations. Lecture Notes in Mathematics, Vol. 702. Springer-Verlag, New York.

has been cited by the following article:

• TITLE: Bifurcations of Travelling Wave Solutions for the B(m,n) Equation

  AUTHORS: Minzhi Wei, Yujian Gan, Shengqiang Tang

  KEYWORDS: Solitary Wave Solution; Periodic Cusp Wave Solution; Periodic Wave Solution; Smoothness of Wave; B(m, n) Equation

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.4 No.2, March 25, 2014

  ABSTRACT: Using the bifurcation theory of dynamical systems to a class of nonlinear fourth order analogue of the B(m,n) equation, the existence of solitary wave solutions, periodic cusp wave solutions, compactons solutions, and uncountably infinite many smooth wave solutions are obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. Some exact explicit parametric representations of the above waves are determined.