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arXiv · 1410.3158

Convergence of the solutions of the BBM-KP and the BBM model equations

Jacob B. Aguilar·Michael M. Tom
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Abstract

It is shown that the solution of the Cauchy problem for the BBM-KP equation converges to the solution of the Cauchy problem for the BBM equation in a suitable function space whenever the initial data for both equations are close as the transverse variable $y \rightarrow \pm \infty$.

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Jacob B. Aguilar, Michael M. Tom. 2014-10-12. Convergence of the solutions of the BBM-KP and the BBM model equations. https://arxiv.org/abs/1410.3158

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