Singularites in the Bousseneq equation and in the generalized KdV equation

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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Scientific paper

10.1103/PhysRevE.63.036301

In this paper, two kinds of the exact singular solutions are obtained by the
improved homogeneous balance (HB) method and a nonlinear transformation. The
two exact solutions show that special singular wave patterns exists in the
classical model of some nonlinear wave problems.

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