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arxiv: nlin/0108030 · v1 · submitted 2001-08-16 · 🌊 nlin.CD

Singularites in the Bousseneq equation and in the generalized KdV equation

classification 🌊 nlin.CD
keywords equationexactnonlinearsingularsolutionswavebalancebousseneq
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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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