Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solitary wave solutions to the Isobe-Kakinuma model for water waves   We consider the Isobe-Kakinuma model for two-dimensional water waves in the
case of the flat bottom. The Isobe-Kakinuma model is a system of Euler-Lagrange
equations for a Lagrangian approximating Luke's Lagrangian for water waves. We
show theoretically the existence of a family of small amplitude solitary wave
solutions to the Isobe-Kakinuma model in the long wave regime. Numerical
analysis for large amplitude solitary wave solutions is also provided and
suggests the existence of a solitary wave of extreme form with a sharp crest.

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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th