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Singularites in the Bousseneq equation and in the generalized KdV equation

Yang Lei·Yang Kongqing
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Abstract

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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Yang Lei, Yang Kongqing. 2001-08-16. Singularites in the Bousseneq equation and in the generalized KdV equation. https://doi.org/10.1103/physreve.63.036301

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